10000 (number)
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10,000 (ten thousand) is the
natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called '' cardinal ...
following 9,999 and preceding 10,001.


Name

Many languages have a specific word for this number: in
Ancient Greek Ancient Greek includes the forms of the Greek language used in ancient Greece and the ancient world from around 1500 BC to 300 BC. It is often roughly divided into the following periods: Mycenaean Greek (), Dark Ages (), the Archaic pe ...
it is (the etymological root of the word
myriad A myriad (from Ancient Greek grc, μυριάς, translit=myrias, label=none) is technically the number 10,000 (ten thousand); in that sense, the term is used in English almost exclusively for literal translations from Greek, Latin or Sinospher ...
in
English English usually refers to: * English language * English people English may also refer to: Peoples, culture, and language * ''English'', an adjective for something of, from, or related to England ** English national ...
), in
Aramaic The Aramaic languages, short Aramaic ( syc, ܐܪܡܝܐ, Arāmāyā; oar, 𐤀𐤓𐤌𐤉𐤀; arc, 𐡀𐡓𐡌𐡉𐡀; tmr, אֲרָמִית), are a language family containing many varieties (languages and dialects) that originated i ...
, in
Hebrew Hebrew (; ; ) is a Northwest Semitic language of the Afroasiatic language family. Historically, it is one of the spoken languages of the Israelites and their longest-surviving descendants, the Jews and Samaritans. It was largely preserved ...
[], in Chinese language, Chinese (Mandarin , Cantonese , Hokkien ''bān''), in Japanese language, Japanese [], in Khmer language, Khmer [], in Korean language, Korean [], in Russian language, Russian [], in Vietnamese language, Vietnamese , in Sanskrit अयुत [''ayuta''], in Thai language, Thai [], in Malayalam [], and in Malagasy language, Malagasy ''alina''. In many of these languages, it often denotes a very large but indefinite number. The classical
Greeks The Greeks or Hellenes (; el, Έλληνες, ''Éllines'' ) are an ethnic group and nation indigenous to the Eastern Mediterranean and the Black Sea regions, namely Greece, Cyprus, Albania, Italy, Turkey, Egypt, and, to a lesser extent, ot ...
used letters of the
Greek alphabet The Greek alphabet has been used to write the Greek language since the late 9th or early 8th century BCE. It is derived from the earlier Phoenician alphabet, and was the earliest known alphabetic script to have distinct letters for vowels as ...
to represent
Greek numerals Greek numerals, also known as Ionic, Ionian, Milesian, or Alexandrian numerals, are a system of writing numbers using the letters of the Greek alphabet. In modern Greece, they are still used for ordinal numbers and in contexts similar to those ...
: they used a capital letter mu (Μ) to represent ten thousand. This Greek root was used in early versions of the
metric system The metric system is a system of measurement that succeeded the decimalised system based on the metre that had been introduced in France in the 1790s. The historical development of these systems culminated in the definition of the Intern ...
in the form of the decimal prefix
myria- Myria- (symbol my) is a now obsolete decimal metric prefix denoting a factor of 104 (ten thousand). It originates from the Greek μύριοι (''mýrioi'') (myriad). The prefix was part of the original metric system adopted by France in 1795, bu ...
. The number ten thousand can also be written as 10,000 (UK and US), 10.000 (Central America and South America, as well as mainland Europe), 10 000 (transition metric), or 10•000 (with the dot raised to the middle of the zeroes; metric).


In mathematics

In
scientific notation Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, o ...
it is written as 104 or 1 E+4 (equivalently 1 E4) in E notation. It is the
square In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90- degree angles, π/2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length a ...
of 100 and the
square root In mathematics, a square root of a number is a number such that ; in other words, a number whose '' square'' (the result of multiplying the number by itself, or  ⋅ ) is . For example, 4 and −4 are square roots of 16, because . ...
of
100,000,000 100,000,000 (one hundred million) is the natural number following 99,999,999 and preceding 100,000,001. In scientific notation, it is written as 108. East Asian languages treat 100,000,000 as a counting unit, significant as the square of a my ...
. The value of a
myriad A myriad (from Ancient Greek grc, μυριάς, translit=myrias, label=none) is technically the number 10,000 (ten thousand); in that sense, the term is used in English almost exclusively for literal translations from Greek, Latin or Sinospher ...
to the
power Power most often refers to: * Power (physics), meaning "rate of doing work" ** Engine power, the power put out by an engine ** Electric power * Power (social and political), the ability to influence people or events ** Abusive power Power may a ...
of itself, 1000010000 = 1040000. It has a total of 25
divisor In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible or evenly divisible by ...
s, whose
geometric mean In mathematics, the geometric mean is a mean or average which indicates a central tendency of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum). The geometric mean is defined as the ...
averages a whole number, 100. It has a reduced totient of 500, and a
totient In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to . It is written using the Greek letter phi as \varphi(n) or \phi(n), and may also be called Euler's phi function. In ...
of 4,000, with a total of 16
integer An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign ( −1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the languag ...
s having a totient value of 10,000. There are a total of 1,229 prime numbers less than ten thousand, a count that is itself prime. A myriagon is a
polygon In geometry, a polygon () is a plane figure that is described by a finite number of straight line segments connected to form a closed '' polygonal chain'' (or ''polygonal circuit''). The bounded plane region, the bounding circuit, or the two ...
with ten thousand edges, and a total of 25 dihedral symmetry groups when including the myriagon itself, alongside 25
cyclic group In group theory, a branch of abstract algebra in pure mathematics, a cyclic group or monogenous group is a group, denoted C''n'', that is generated by a single element. That is, it is a set of invertible elements with a single associative bina ...
s as
subgroup In group theory, a branch of mathematics, given a group ''G'' under a binary operation ∗, a subset ''H'' of ''G'' is called a subgroup of ''G'' if ''H'' also forms a group under the operation ∗. More precisely, ''H'' is a subgroup ...
s.


In science

* In
astronomy Astronomy () is a natural science that studies celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and evolution. Objects of interest include planets, moons, stars, nebulae, g ...
, **
asteroid An asteroid is a minor planet of the inner Solar System. Sizes and shapes of asteroids vary significantly, ranging from 1-meter rocks to a dwarf planet almost 1000 km in diameter; they are rocky, metallic or icy bodies with no atmosphere. ...
Number:
10000 Myriostos 1 (one, unit, unity) is a number representing a single or the only entity. 1 is also a numerical digit and represents a single unit of counting or measurement. For example, a line segment of ''unit length'' is a line segment of length 1. I ...
, Provisional Designation: , Discovery Date: September 30, 1951, by A. G. Wilson:
List of asteroids (9001-10000) The following is a list of numbered minor planets in ascending numerical order. With the exception of comets, minor planets are all small bodies in the Solar System, including asteroids, distant objects and dwarf planets. The catalog consists ...
. * In
climate Climate is the long-term weather pattern in an area, typically averaged over 30 years. More rigorously, it is the mean and variability of meteorological variables over a time spanning from months to millions of years. Some of the meteorologi ...
, Summary of 10000 Years is one of several pages of the ''Climate Timeline Tool: Exploring Weather & Climate Change Through the Powers of 10'' sponsored by the
National Climatic Data Center The United States National Climatic Data Center (NCDC), previously known as the National Weather Records Center (NWRC), in Asheville, North Carolina, was the world's largest active archive of weather data. Starting as a tabulation unit in New Or ...
of the National Oceanic & Atmospheric Administration. * In
computer A computer is a machine that can be programmed to carry out sequences of arithmetic or logical operations ( computation) automatically. Modern digital electronic computers can perform generic sets of operations known as programs. These prog ...
s,
NASA The National Aeronautics and Space Administration (NASA ) is an independent agency of the US federal government responsible for the civil space program, aeronautics research, and space research. NASA was established in 1958, succeedin ...
built a 10000-processor
Linux Linux ( or ) is a family of open-source Unix-like operating systems based on the Linux kernel, an operating system kernel first released on September 17, 1991, by Linus Torvalds. Linux is typically packaged as a Linux distribution, whi ...
computer (it is actually a 10,240-processor) called
Columbia Columbia may refer to: * Columbia (personification), the historical female national personification of the United States, and a poetic name for America Places North America Natural features * Columbia Plateau, a geologic and geographic region i ...
. * In
geography Geography (from Greek: , ''geographia''. Combination of Greek words ‘Geo’ (The Earth) and ‘Graphien’ (to describe), literally "earth description") is a field of science devoted to the study of the lands, features, inhabitants, an ...
, **Land of 10000 Lakes is the
nickname A nickname is a substitute for the proper name of a familiar person, place or thing. Commonly used to express affection, a form of endearment, and sometimes amusement, it can also be used to express defamation of character. As a concept, it is ...
for the state of
Minnesota Minnesota () is a state in the upper midwestern region of the United States. It is the 12th largest U.S. state in area and the 22nd most populous, with over 5.75 million residents. Minnesota is home to western prairies, now given over t ...
. ** Land of 10000 Trails or 10000trails.com is an organization created in 1999 by the TN/KY Lakes Area Coalition and based in West
Tennessee Tennessee ( , ), officially the State of Tennessee, is a landlocked U.S. state, state in the Southeastern United States, Southeastern region of the United States. Tennessee is the List of U.S. states and territories by area, 36th-largest by ...
and West
Kentucky Kentucky ( , ), officially the Commonwealth of Kentucky, is a state in the Southeastern region of the United States and one of the states of the Upper South. It borders Illinois, Indiana, and Ohio to the north; West Virginia and Virginia ...
to promote tourism by developing trails in the region. ** Ten Thousand Islands National Wildlife Refuge is situated in the lower end of the Fakahatchee and Picayune Strands of
Big Cypress Swamp Big Cypress National Preserve is a United States National Preserve located in South Florida, about 45 miles (72 kilometers) west of Miami on the Atlantic coastal plain. The Big Cypress, along with Big Thicket National Preserve in Texas, became ...
and west of
Everglades National Park Everglades National Park is an American national park that protects the southern twenty percent of the original Everglades in Florida. The park is the largest tropical wilderness in the United States and the largest wilderness of any kind east ...
in
Florida Florida is a state located in the Southeastern region of the United States. Florida is bordered to the west by the Gulf of Mexico, to the northwest by Alabama, to the north by Georgia, to the east by the Bahamas and Atlantic Ocean, and ...
. **
Valley of Ten Thousand Smokes The Valley of Ten Thousand Smokes is a valley within Katmai National Park and Preserve in Alaska which is filled with ash flow from the eruption of Novarupta on June 6–8, 1912. Following the eruption, thousands of fumaroles vented steam fro ...
in
Alaska Alaska ( ; russian: Аляска, Alyaska; ale, Alax̂sxax̂; ; ems, Alas'kaaq; Yup'ik: ''Alaskaq''; tli, Anáaski) is a state located in the Western United States on the northwest extremity of North America. A semi-exclave of the U ...
. * In
physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which ...
, **
Myria- Myria- (symbol my) is a now obsolete decimal metric prefix denoting a factor of 104 (ten thousand). It originates from the Greek μύριοι (''mýrioi'') (myriad). The prefix was part of the original metric system adopted by France in 1795, bu ...
(and
myrio- Myria- (symbol my) is a now obsolete decimal metric prefix denoting a factor of 104 (ten thousand). It originates from the Greek μύριοι (''mýrioi'') (myriad). The prefix was part of the original metric system adopted by France in 1795, bu ...
) is an obsolete
metric prefix A metric prefix is a unit prefix that precedes a basic unit of measure to indicate a multiple or submultiple of the unit. All metric prefixes used today are decadic. Each prefix has a unique symbol that is prepended to any unit symbol. The pr ...
that denoted a factor of 10+4, ten thousand, or 10,000. ** 10,000
hertz The hertz (symbol: Hz) is the unit of frequency in the International System of Units (SI), equivalent to one event (or cycle) per second. The hertz is an SI derived unit whose expression in terms of SI base units is s−1, meaning that o ...
, 10
kilohertz The hertz (symbol: Hz) is the unit of frequency in the International System of Units (SI), equivalent to one event (or cycle) per second. The hertz is an SI derived unit whose expression in terms of SI base units is s−1, meaning that on ...
'', or ''10 kHz of the
radio frequency Radio frequency (RF) is the oscillation rate of an alternating electric current or voltage or of a magnetic, electric or electromagnetic field or mechanical system in the frequency range from around to around . This is roughly between the up ...
spectrum falls in the
very low frequency Very low frequency or VLF is the ITU designation for radio frequencies (RF) in the range of 3–30  kHz, corresponding to wavelengths from 100 to 10 km, respectively. The band is also known as the myriameter band or myriameter wave a ...
or VLF band and has a
wavelength In physics, the wavelength is the spatial period of a periodic wave—the distance over which the wave's shape repeats. It is the distance between consecutive corresponding points of the same phase on the wave, such as two adjacent crests, tr ...
of 30 kilometres. ** In
orders of magnitude (speed) To help compare different orders of magnitude, the following list describes various speed levels between approximately 2.2  m/s and 3.0 m/s (the speed of light). Values in bold are exact. List of orders of magnitude for speed See als ...
, the
speed In everyday use and in kinematics, the speed (commonly referred to as ''v'') of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quant ...
of a fast neutron is 10000 km/s. ** In
acoustics Acoustics is a branch of physics that deals with the study of mechanical waves in gases, liquids, and solids including topics such as vibration, sound, ultrasound and infrasound. A scientist who works in the field of acoustics is an acousticia ...
, 10,000
hertz The hertz (symbol: Hz) is the unit of frequency in the International System of Units (SI), equivalent to one event (or cycle) per second. The hertz is an SI derived unit whose expression in terms of SI base units is s−1, meaning that o ...
, 10
kilohertz The hertz (symbol: Hz) is the unit of frequency in the International System of Units (SI), equivalent to one event (or cycle) per second. The hertz is an SI derived unit whose expression in terms of SI base units is s−1, meaning that on ...
'', or ''10 kHz of a sound signal at sea level has a wavelength of about 34 mm. ** In
music Music is generally defined as the art of arranging sound to create some combination of form, harmony, melody, rhythm or otherwise expressive content. Exact definitions of music vary considerably around the world, though it is an aspe ...
, a 10 kilohertz sound is a E♭9 in the A440 pitch standard, a bit more than an octave higher in pitch than the highest note on a standard piano.


In time

* 10000 BC, 10000 BCE, or
10th millennium BC The 10th millennium BC spanned the years 10,000 BC to 9001 BC (c. 12 ka to c. 11 ka). It marks the beginning of the transition from the Palaeolithic to the Neolithic via the interim Mesolithic ( Northern Europe and Western Europe) and Ep ...
. * 10000-year clock or the
Clock of the Long Now The Clock of the Long Now, also called the 10,000-year clock, is a mechanical clock under construction that is designed to keep time for 10,000 years. It is being built by the Long Now Foundation. A two-meter prototype is on display at the S ...
is a mechanical clock designed to keep time for 10000 years.


In Arts

* In films, ** ''
10,000 Black Men Named George ''10,000 Black Men Named George'' is a 2002 Showtime TV movie about A. Philip Randolph and his coworkers Milton Webster and Ashley Totten. The title refers to the custom of the time when Pullman porters, all of whom were black, were addressed as ...
'' (2002, TV). ** ''
The Phantom from 10,000 Leagues ''The Phantom from 10,000 Leagues'' is a 1955 independently made, American, black-and-white, science-fiction monster film, produced by Jack Milner and Dan Milner (who also directed), that stars Kent Taylor and Cathy Downs. The film's December ...
'' (1956). ** In
Pixar Pixar Animation Studios (commonly known as Pixar () and stylized as P I X A R) is an American computer animation studio known for its critically and commercially successful computer animated feature films. It is based in Emeryville, Californ ...
's film '' Up'' The main character, Carl Fredrickson attaches 10,000
helium Helium (from el, ἥλιος, helios, lit=sun) is a chemical element with the symbol He and atomic number 2. It is a colorless, odorless, tasteless, non-toxic, inert, monatomic gas and the first in the noble gas group in the periodic ta ...
toy balloon A toy balloon or party balloon, is a small balloon mostly used for decoration, advertising and children's toys. Toy balloons are usually made of rubber or aluminized plastic, and inflated with air or helium. They come in a great variety of siz ...
s to his house. ** '' Vietnam: The Ten Thousand Day War'' (1980, mini). * In music, ** '' 10,000 Days'' is the title of the fourth studio album by
Tool A tool is an object that can extend an individual's ability to modify features of the surrounding environment or help them accomplish a particular task. Although many animals use simple tools, only human beings, whose use of stone tools dates b ...
. ** '' Ten Thousand Fists'' is an album by Disturbed. ** '' 10,000 Hz Legend'' album by
Air The atmosphere of Earth is the layer of gases, known collectively as air, retained by Earth's gravity that surrounds the planet and forms its planetary atmosphere. The atmosphere of Earth protects life on Earth by creating pressure allowing f ...
2001. ** ''
10,000 Maniacs 10,000 Maniacs is an American alternative rock band that was founded in 1981. They have released nine studio albums, six EPs, and five live albums. They achieved their most significant success between 1987 and 1993, when they released four album ...
'' is a US rock band. ** "10000 Men" is a
song A song is a musical composition intended to be performed by the human voice. This is often done at distinct and fixed pitches (melodies) using patterns of sound and silence. Songs contain various forms, such as those including the repetiti ...
by
Bob Dylan Bob Dylan (legally Robert Dylan, born Robert Allen Zimmerman, May 24, 1941) is an American singer-songwriter. Often regarded as one of the greatest songwriters of all time, Dylan has been a major figure in popular culture during a career sp ...
. ** ''
Ten Thousand Men of Harvard "Ten Thousand Men of Harvard" is the most frequently performed of Harvard University's fight songs. Composed by A. Putnam of Harvard College's class of 1918, it is among the fight songs performed by the Harvard Glee Club at its annual joint concert ...
'' is a
fight song A fight song is a rousing short song associated with a sports team. The term is most common in the United States and Canada. In Australia, Mexico, and New Zealand these songs are called the team anthem, team song, or games song. First associated ...
of
Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of highe ...
. ** ''10,000 Reasons'' (album) is a 2013 Christian album by Matt Redman. ** "10,000 promises" is a song by the
Backstreet Boys Backstreet Boys (often abbreviated as BSB) are an American vocal group consisting of Nick Carter, Howie Dorough, AJ McLean, and cousins Brian Littrell and Kevin Richardson. Lou Pearlman formed the group in 1993 in Orlando, Florida. The ...
. ** '' 10,000 Promises.'' is a
Japanese popular music J-pop ( ja, ジェイポップ, ''jeipoppu''; often stylized as J-POP; an abbreviated form of "Japanese popular music"), natively also known simply as , is the name for a form of popular music that entered the musical mainstream of Japan in the 1 ...
group. ** "
10,000 Reasons (Bless the Lord) "10,000 Reasons (Bless the Lord)" is a worship song co-written by the English Christian singer-songwriter Matt Redman and the Swedish songwriter Jonas Myrin, first recorded by Redman for his '' 10,000 Reasons'' album, released in 2011 on Kingswa ...
", is a single and title track of Matt Redman 2013 album '' 10,000 Reasons''. ** " Ten Thousand Strong" is a song by American
Power metal Power metal is a subgenre of heavy metal combining characteristics of traditional heavy metal with speed metal, often within symphonic context. Generally, power metal is characterized by a faster, lighter, and more uplifting sound, in contra ...
band,
Iced Earth Iced Earth is an American heavy metal band formed in Tampa, Florida and currently based in Columbus, Indiana. They were formed in 1984 under the name the Rose, then Purgatory, by guitarist and main songwriter Jon Schaffer and original drummer ...
. ** "10k", a song by rapper KB from his 2020 album ''His Glory Alone''. *In paintings, ** ''
Xenophon Xenophon of Athens (; grc, Ξενοφῶν ; – probably 355 or 354 BC) was a Greek military leader, philosopher, and historian, born in Athens. At the age of 30, Xenophon was elected commander of one of the biggest Greek mercenary armies o ...
, on his Retreat with the Ten Thousand, first seeing the Sea'', painting by
Benjamin Haydon Benjamin Robert Haydon (; 26 January 178622 June 1846) was a British painter who specialised in grand historical pictures, although he also painted a few contemporary subjects and portraits. His commercial success was damaged by his often tactles ...
.


In other fields

* In currency, ** Two versions of
Iraq Iraq,; ku, عێراق, translit=Êraq officially the Republic of Iraq, '; ku, کۆماری عێراق, translit=Komarî Êraq is a country in Western Asia. It is bordered by Turkey to Iraq–Turkey border, the north, Iran to Iran–Iraq ...
's 10,000
dinar The dinar () is the principal currency unit in several countries near the Mediterranean Sea, and its historical use is even more widespread. The modern dinar's historical antecedents are the gold dinar and the silver dirham, the main coin ...
banknote A banknote—also called a bill (North American English), paper money, or simply a note—is a type of negotiable instrument, negotiable promissory note, made by a bank or other licensed authority, payable to the bearer on demand. Banknotes w ...
has Abu Ali Hasan Ibn al-Haitham (also known as
Alhazen Ḥasan Ibn al-Haytham, Latinized as Alhazen (; full name ; ), was a medieval mathematician, astronomer, and physicist of the Islamic Golden Age from present-day Iraq.For the description of his main fields, see e.g. ("He is one of the prin ...
) on the front and the current issue has sculptor
Jawad Saleem Jewad Selim (1919–1961) ( ar, جواد سليم) was an Iraqi painter and sculptor born in Ankara, Ottoman Empire in 1919. He became an influential artist through his involvement with the Iraqi Baghdad Modern Art Group, which encouraged artists ...
's Freedom Monument in Baghdad on the front. Both notes have an image of Mosul's al-Hadba' Minaret on the back. The first issue had an image of former Iraqi president
Saddam Hussein Saddam Hussein ( ; ar, صدام حسين, Ṣaddām Ḥusayn; 28 April 1937 – 30 December 2006) was an Iraqi politician who served as the fifth president of Iraq from 16 July 1979 until 9 April 2003. A leading member of the revolutio ...
and the Spiral Minaret - Al-Minārat Al-Malwiyyah in
Samarra Samarra ( ar, سَامَرَّاء, ') is a city in Iraq. It stands on the east bank of the Tigris in the Saladin Governorate, north of Baghdad. The city of Samarra was founded by Abbasid Caliph Al-Mutasim for his Turkish professional ar ...
. ** the Japanese ¥10,000 banknote depicts
Fukuzawa Yukichi was a Japanese educator, philosopher, writer, entrepreneur and samurai who founded Keio University, the newspaper '' Jiji-Shinpō'', and the Institute for Study of Infectious Diseases. Fukuzawa was an early advocate for reform in Japan. Hi ...
. **
Kazakhstan Kazakhstan, officially the Republic of Kazakhstan, is a transcontinental country located mainly in Central Asia and partly in Eastern Europe. It borders Russia to the north and west, China to the east, Kyrgyzstan to the southeast, Uzbeki ...
's 10,000 banknote. ** the Lebanese £L10,000 banknote depicts Beirut's Martyrs' Square. **
Myanmar Myanmar, ; UK pronunciations: US pronunciations incl. . Note: Wikipedia's IPA conventions require indicating /r/ even in British English although only some British English speakers pronounce r at the end of syllables. As John Wells explai ...
's (Burma's) Ks.10,000/- banknote. ** the U.S. $10,000 note depicts a picture of
Salmon P. Chase Salmon Portland Chase (January 13, 1808May 7, 1873) was an American politician and jurist who served as the sixth chief justice of the United States. He also served as the 23rd governor of Ohio, represented Ohio in the United States Senate, a ...
. * In distances, ** 10 km, 10,000 m, or 1 E+4 m is equal to: *** 1 Scandinavian ''mil''. *** about 6.2137 English miles. *** side of
square In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90- degree angles, π/2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length a ...
with area 100 km2. *** radius of a
circle A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is cons ...
with area 100 km2 ≈ 314.159 km2. * In finance, on March 29, 1999, the
Dow Jones Industrial Average The Dow Jones Industrial Average (DJIA), Dow Jones, or simply the Dow (), is a stock market index of 30 prominent companies listed on stock exchanges in the United States. The DJIA is one of the oldest and most commonly followed equity inde ...
closed at 10006.78 which was the first time the index closed above the 10,000 mark. * In
futurology Futures studies, futures research, futurism or futurology is the systematic, interdisciplinary and holistic study of social and technological advancement, and other environmental trends, often for the purpose of exploring how people will li ...
,
Stewart Brand Stewart Brand (born December 14, 1938) is an American writer, best known as editor of the ''Whole Earth Catalog''. He founded a number of organizations, including The WELL, the Global Business Network, and the Long Now Foundation. He is the auth ...
in ''Visions of the Future: The 10,000-Year Library'' proposes a museum built around a 10,000 year clock as an idea for assuring that vital information survives future crashes of civilizations. * In games, ** ''Ten Thousand'' is one name of a dice game that is also called
farkle Farkle, or Farkel, is a dice game similar to or synonymous with 1000/5000/10000, Cosmic Wimpout, Greed, Hot Dice, Squelch, Zilch, or Zonk. Its origins as a folk game are unknown, but the game dates back to at least the mid-1980s. It has been mark ...
. * In game shows, ''
The $10,000 Pyramid ''Pyramid'' is the collective name of a series of American television game shows that has aired several versions domestically and internationally. The original series, ''The $10,000 Pyramid'', debuted on March 26, 1973, and spawned seven subsequ ...
'' ran on television from 1973 to 1974. * In history, **''Army of 10,000'' Sixty Day Troops, 1862–1863.
American Civil War The American Civil War (April 12, 1861 – May 26, 1865; also known by Names of the American Civil War, other names) was a civil war in the United States. It was fought between the Union (American Civil War), Union ("the North") and t ...
. ** The '' Army of the Ten Thousand'' were a group of
Ancient Greek Ancient Greek includes the forms of the Greek language used in ancient Greece and the ancient world from around 1500 BC to 300 BC. It is often roughly divided into the following periods: Mycenaean Greek (), Dark Ages (), the Archaic pe ...
mercenaries A mercenary, sometimes Pseudonym, also known as a soldier of fortune or hired gun, is a private individual, particularly a soldier, that joins a military conflict for personal profit, is otherwise an outsider to the conflict, and is not a memb ...
who marched against
Artaxerxes II of Persia Arses ( grc-gre, Ἄρσης; 445 – 359/8 BC), known by his regnal name Artaxerxes II ( peo, 𐎠𐎼𐎫𐎧𐏁𐏂 ; grc-gre, Ἀρταξέρξης), was King of Kings of the Achaemenid Empire from 405/4 BC to 358 BC. He was the son and suc ...
. ** the Persian Immortals were also called the ''Ten Thousand'' or ''10,000 Immortals'', so named because their number of 10,000 was immediately re-established after every loss. ** ''The 10,000 Day War: Vietnam'' by Michael Maclear also alternate titles ''The ten thousand day war: Vietnam, 1945–1975'' (10,000 days is 27.4 years). ** ''Tomb of Ten Thousand Soldiers'' – defeat of the
Tang dynasty The Tang dynasty (, ; zh, t= ), or Tang Empire, was an Dynasties in Chinese history, imperial dynasty of China that ruled from 618 to 907 AD, with an Zhou dynasty (690–705), interregnum between 690 and 705. It was preceded by the Sui dyn ...
army of China in the
Nanzhao Nanzhao (, also spelled Nanchao, ) was a dynastic kingdom that flourished in what is now southern China and northern Southeast Asia during the 8th and 9th centuries. It was centered on present-day Yunnan in China. History Origins Nanzh ...
kingdom in 751. ** In Islamic history, 10,000 is the number of besieging forces led by Muhammad's adversary,
Abu Sufyan Sakhr ibn Harb ibn Umayya ibn Abd Shams ( ar, صخر بن حرب بن أمية بن عبد شمس, Ṣakhr ibn Ḥarb ibn Umayya ibn ʿAbd Shams; ), better known by his '' kunya'' Abu Sufyan ( ar, أبو سفيان, Abū Sufyān), was a prominent ...
, during the
Battle of the Trench The Battle of the Trench ( ar, غزوة الخندق, Ghazwat al-Khandaq), also known as the Battle of Khandaq ( ar, معركة الخندق, Ma’rakah al-Khandaq) and the Battle of the Confederates ( ar, غزوة الاحزاب, Ghazwat al- ...
. ** 10,000 is the number of
Muhammad Muhammad ( ar, مُحَمَّد;  570 – 8 June 632 CE) was an Arab religious, social, and political leader and the founder of Islam. According to Islamic doctrine, he was a prophet divinely inspired to preach and confirm the mon ...
's soldiers during the
conquest of Mecca The Conquest of Mecca ( ar, فتح مكة , translit=Fatḥ Makkah) was the capture of the town of Mecca by Muslims led by the Islamic prophet Muhammad in December 629 or January 630 AD ( Julian), 10–20 Ramadan, 8 AH. The conquest marked ...
. * In
language Language is a structured system of communication. The structure of a language is its grammar and the free components are its vocabulary. Languages are the primary means by which humans communicate, and may be conveyed through a variety of ...
, ** the Chinese, Japanese, Korean, and Vietnamese phrase '' live for ten thousand years'' was used to bless emperors in East Asia. ** the words in the
Interlingua–English Dictionary The ''Interlingua–English Dictionary'' (''IED''), developed by the International Auxiliary Language Association (IALA) under the direction of Alexander Gode and published by Storm Publishers in 1951, is the first Interlingua dictionary. The IED ...
are all drawn from 10,000 roots. ** Μύριοι is an
Ancient Greek Ancient Greek includes the forms of the Greek language used in ancient Greece and the ancient world from around 1500 BC to 300 BC. It is often roughly divided into the following periods: Mycenaean Greek (), Dark Ages (), the Archaic pe ...
name for 10.000 taken into the modern European languages as 'myriad' (see above). Hebrew, Chinese, Japanese and Korean have words with the same meaning. * In literature, **
Man'yōshū The is the oldest extant collection of Japanese (poetry in Classical Japanese), compiled sometime after AD 759 during the Nara period. The anthology is one of the most revered of Japan's poetic compilations. The compiler, or the last in ...
( ''Man'yōshū'', ''Collection of Ten Thousand Leaves'') is the oldest existing, and most highly revered, collection of
Japanese poetry Japanese poetry is poetry typical of Japan, or written, spoken, or chanted in the Japanese language, which includes Old Japanese, Early Middle Japanese, Late Middle Japanese, and Modern Japanese, as well as poetry in Japan which was written in th ...
. ** ''Ten Thousand a Year'' 1839 by Samuel Warren. ** ''Ten Thousand a Year'' 1883?. A drama, in three acts. Adapted from the celebrated novel of the same name, by the author of the ''Diary of a Physician'', and arranged for the stage by Richard Brinsley Peake. ** Anabasis, by the Greek writer Xenophon (431–360 B.C.), about the '' Army of the Ten Thousand'' – Greek mercenaries taking part in the expedition of Cyrus the Younger, a Persian prince, against his brother, King Artaxerxes II. ** ''The Ten Thousand: A Novel of Ancient Greece'' by Michael Curtis Ford. 2001. Historic fiction about the '' Army of the Ten Thousand''. ** ''The World of the Ten Thousand Things: Poems 1980–1990'' by Charles Wright . ** ''Ten Thousand Lovers'' by Edeet Ravel . * In philosophy,
Lao Zi Laozi (), also known by numerous other names, was a semilegendary ancient Chinese Taoist philosopher. Laozi ( zh, ) is a Chinese honorific, generally translated as "the Old Master". Traditional accounts say he was born as in the state of ...
writes about ''ten thousand things'' in the
Tao Te Ching The ''Tao Te Ching'' (, ; ) is a Chinese classic text written around 400 BC and traditionally credited to the sage Laozi, though the text's authorship, date of composition and date of compilation are debated. The oldest excavated portion ...
In
Taoism Taoism (, ) or Daoism () refers to either a school of philosophical thought (道家; ''daojia'') or to a religion (道教; ''daojiao''), both of which share ideas and concepts of Chinese origin and emphasize living in harmony with the '' Ta ...
, the "10,000 Things" is a term meaning all of phenomenal
reality Reality is the sum or aggregate of all that is real or existent within a system, as opposed to that which is only imaginary. The term is also used to refer to the ontological status of things, indicating their existence. In physical terms, re ...
. * In
piphilology Piphilology comprises the creation and use of mnemonic techniques to remember many digits of the mathematical constant . The word is a play on the word "pi" itself and of the linguistic field of philology. There are many ways to memorize , inclu ...
, ten thousand is the current world record for the number of digits of pi memorized by a human being. * In psychology, ''Ten Thousand Dreams Interpreted'', or what's in a
dream A dream is a succession of images, ideas, emotions, and sensations that usually occur involuntarily in the mind during certain stages of sleep. Humans spend about two hours dreaming per night, and each dream lasts around 5 to 20 minutes, althou ...
: a scientific and practical, by Miller, Gustavus Hindman (1857–1929).
Project Gutenberg Project Gutenberg (PG) is a volunteer effort to digitize and archive cultural works, as well as to "encourage the creation and distribution of eBooks." It was founded in 1971 by American writer Michael S. Hart and is the oldest digital libr ...
. * In religion, ** the
Bible The Bible (from Koine Greek , , 'the books') is a collection of religious texts or scriptures that are held to be sacred in Christianity Christianity is an Abrahamic monotheistic religion based on the life and teachings of Jesus ...
, *** has 52 references to ten thousand in the
King James Version The King James Version (KJV), also the King James Bible (KJB) and the Authorized Version, is an English translation of the Christian Bible for the Church of England, which was commissioned in 1604 and published in 1611, by sponsorship of K ...
. ***
Revelation In religion and theology, revelation is the revealing or disclosing of some form of truth or knowledge through communication with a deity or other supernatural entity or entities. Background Inspiration – such as that bestowed by God on the ...
5:11 ''And I beheld, and I heard the voice of many angels round about the throne and the beasts and the elders: and the number of them was ten thousand times ten thousand, and thousands of thousands''. **
hymn A hymn is a type of song, and partially synonymous with devotional song, specifically written for the purpose of adoration or prayer, and typically addressed to a deity or deities, or to a prominent figure or personification. The word ''hymn ...
, ''Ten thousand times ten thousand''. ** The
Ten thousand martyrs Ten thousand martyrs may refer to the ten thousand martyred Fathers of the deserts and caves of Scete by Theophilus of Alexandria or to the ten thousand martyrs of Mount Ararat who were, according to a medieval legend, Roman soldiers who, led by S ...
. * In software, ** the ''
Year 10,000 problem In computer science, time formatting and storage bugs are a class of software bugs that may cause time and date calculation or display to be improperly handled. These are most commonly manifestations of arithmetic overflow, but can also be the ...
'' is the collective name for all potential software bugs that will emerge as the need to express years with five digits arises. * In sports, ** In athletics, ''10,000 metres'', ''10 kilometres'', ''10 km'', or ''10K'' (6.2 miles) is the final standard track event in a
long-distance track event Long-distance running, or endurance running, is a form of continuous running over distances of at least . Physiologically, it is largely aerobic in nature and requires stamina as well as mental strength. Within endurance running comes two d ...
and a distance in other
racing In sport, racing is a competition of speed, in which competitors try to complete a given task in the shortest amount of time. Typically this involves traversing some distance, but it can be any other task involving speed to reach a specific go ...
events such as
running Running is a method of terrestrial locomotion allowing humans and other animals to move rapidly on foot. Running is a type of gait characterized by an aerial phase in which all feet are above the ground (though there are exceptions). This i ...
,
cycling Cycling, also, when on a two-wheeled bicycle, called bicycling or biking, is the use of cycles for transport, recreation, exercise or sport. People engaged in cycling are referred to as "cyclists", "bicyclists", or "bikers". Apart from ...
, and
skiing Skiing is the use of skis to glide on snow. Variations of purpose include basic transport, a recreational activity, or a competitive winter sport. Many types of competitive skiing events are recognized by the International Olympic Committee ( ...
. ** In bicycle racing, annual ''Tour of 10,000 Lakes Stage Race'' in
Minneapolis Minneapolis () is the largest city in Minnesota, United States, and the county seat of Hennepin County. The city is abundant in water, with thirteen lakes, wetlands, the Mississippi River, creeks and waterfalls. Minneapolis has its origin ...
. ** In baseball, on July 15, 2007, the
Philadelphia Phillies The Philadelphia Phillies are an American professional baseball team based in Philadelphia. They compete in Major League Baseball (MLB) as a member of the National League (NL) National League East, East division. Since 2004, the team's home sta ...
became the first team in professional sports history to lose 10,000 games.


Selected numbers in the range 10001-19999


10001 to 10999

* 10007 = smallest five-digit prime number,
twin prime A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term ''twin p ...
with 10009. * 10008 = palindromic in bases 5 (3100135), 22 (KEK22), 28 (CLC28) and 33 (96933) and a
Harshad number In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers in base are also known as -harshad (or -Niven) numbers. Harshad number ...
in bases 2, 3, 4, 5, 6, 7, 8, 10, 13, 14 and 16. * 10009 = twin prime with 10007. * 10080 =
highly composite number __FORCETOC__ A highly composite number is a positive integer with more divisors than any smaller positive integer has. The related concept of largely composite number refers to a positive integer which has at least as many divisors as any smaller ...
; number of minutes in a week. * 10111 = palindromic prime in bases 3 (1112121113) and 27 (DND27). * 10176 = smallest (provable) generalized
Riesel number In mathematics, a Riesel number is an odd natural number ''k'' for which k\times2^n-1 is composite for all natural numbers ''n'' . In other words, when ''k'' is a Riesel number, all members of the following set are composite: :\left\. If the fo ...
in
base 10 The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numer ...
: is always divisible by one of the prime numbers . * 10201 = 1012,
palindromic A palindrome is a word, number, phrase, or other sequence of symbols that reads the same backwards as forwards, such as the words ''madam'' or ''racecar'', the date and time ''11/11/11 11:11,'' and the sentence: "A man, a plan, a canal – Pana ...
square In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90- degree angles, π/2 radian angles, or right angles). It can also be defined as a rectangle with two equal-length a ...
(in the decimal system) * 10206 =
pentagonal pyramidal number A pyramidal number is a figurate number that represents a pyramid with a polygonal base and a given number of triangular sides. A pyramidal number is the number of points in a pyramid where each layer of the pyramid is an -sided polygon of points. ...
. * 10223 = sixth last number to be eliminated (in 2016) by
Seventeen or Bust Seventeen or Bust was a volunteer computing project started in March 2002 to solve the last seventeen cases in the Sierpinski problem. The project solved eleven cases before a server loss in April 2016 forced it to cease operations. Work on the ...
(now a sub-project of
PrimeGrid PrimeGrid is a volunteer computing project that searches for very large (up to world-record size) prime numbers whilst also aiming to solve long-standing mathematical conjectures. It uses the Berkeley Open Infrastructure for Network Computing ...
) in the Sierpiński problem. * 10239 =
Woodall number In number theory, a Woodall number (''W'n'') is any natural number of the form :W_n = n \cdot 2^n - 1 for some natural number ''n''. The first few Woodall numbers are: :1, 7, 23, 63, 159, 383, 895, … . History Woodall numbers were first st ...
. * 10252 = Padovan number. * 10267 =
cuban prime A cuban prime is a prime number that is also a solution to one of two different specific equations involving differences between third powers of two integers ''x'' and ''y''. First series This is the first of these equations: :p = \frac,\ x = ...
. * 10301 = palindromic prime in bases 10 (1030110), 27 (E3E27), 30 (BDB30) and 44 (5E544). * 10333 =
star prime A star number is a centered figurate number, a centered hexagram (six-pointed star), such as the Star of David, or the board Chinese checkers is played on. The ''n''th star number is given by the formula ''Sn'' = 6''n''(''n'' − 1) + 1. The ...
, palindromic in bases 9 (151519), 31 (ANA31) and 35 (8F835). * 10416 =
square pyramidal number In mathematics, a pyramid number, or square pyramidal number, is a natural number that counts the number of stacked spheres in a pyramid with a square base. The study of these numbers goes back to Archimedes and Fibonacci. They are part of a bro ...
. * 10425 =
octahedral number In number theory, an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres. The ''n''th octahedral number O_n can be obtained by the formula:. :O_n=. The first few octahed ...
. * 10430 = weird number. * 10433 = palindromic prime in base 44 (5H544). * 10440 = 144th
triangular number A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots i ...
. * 10499 =
twin prime A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term ''twin p ...
with 10501. * 10500 =
Harshad number In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers in base are also known as -harshad (or -Niven) numbers. Harshad number ...
in bases 2, 3, 4, 6, 7, 8, 9, 10, 11, 15 and 16. * 10501 = palindromic prime in bases 10 (1050110) and 58 (37358). * 10512 = Harshad number in bases 2, 3, 4, 5, 7, 8, 9, 10, 13 and 16. * 10538 = 10538 Overture is a hit single by
Electric Light Orchestra The Electric Light Orchestra (ELO) are an English rock band formed in Birmingham in 1970 by songwriters and multi-instrumentalists Jeff Lynne and Roy Wood with drummer Bev Bevan. Their music is characterised by a fusion of pop, classical ...
. * 10560 = Harshad number in bases 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14 and 16. * 10570 = weird number. * 10585 =
Carmichael number In number theory, a Carmichael number is a composite number n, which in modular arithmetic satisfies the congruence relation: :b^n\equiv b\pmod for all integers b. The relation may also be expressed in the form: :b^\equiv 1\pmod. for all integers ...
. * 10601 = palindromic prime in bases 10 (1060110) and 30 (BNB30). * 10609 = 1032, tribonacci number. * 10631 = palindromic prime in base 30 (BOB30). * 10646 =
ISO 10646 ISO is the most common abbreviation for the International Organization for Standardization. ISO or Iso may also refer to: Business and finance * Iso (supermarket), a chain of Danish supermarkets incorporated into the SuperBest chain in 2007 * Iso ...
is the standard for
Unicode Unicode, formally The Unicode Standard,The formal version reference is is an information technology standard for the consistent encoding, representation, and handling of text expressed in most of the world's writing systems. The standard, ...
. * 10648 = 223, the smallest 5-digit cube. * 10660 =
tetrahedral number A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron. The th tetrahedral number, , is the sum of the first triangular numbers, that is, ...
. * 10671 = tetranacci number. * 10700 = 10700 kHz or 10.7 MHz is a standard
intermediate frequency In communications and electronic engineering, an intermediate frequency (IF) is a frequency to which a carrier wave is shifted as an intermediate step in transmission or reception. The intermediate frequency is created by mixing the carrier sig ...
for analog
superheterodyne A superheterodyne receiver, often shortened to superhet, is a type of radio receiver that uses frequency mixing to convert a received signal to a fixed intermediate frequency (IF) which can be more conveniently processed than the original carri ...
FM broadcast FM broadcasting is a method of radio broadcasting using frequency modulation (FM). Invented in 1933 by American engineer Edwin Armstrong, wide-band FM is used worldwide to provide high fidelity sound over broadcast radio. FM broadcasting is capa ...
band receivers. * 10744 =
amicable number Amicable numbers are two different natural numbers related in such a way that the sum of the proper divisors of each is equal to the other number. That is, σ(''a'')=''b'' and σ(''b'')=''a'', where σ(''n'') is equal to the sum of positive d ...
with 10856. * 10752 = the second
16-bit 16-bit microcomputers are microcomputers that use 16-bit microprocessors. A 16-bit register can store 216 different values. The range of integer values that can be stored in 16 bits depends on the integer representation used. With the two ...
word A word is a basic element of language that carries an objective or practical meaning, can be used on its own, and is uninterruptible. Despite the fact that language speakers often have an intuitive grasp of what a word is, there is no conse ...
of a
TIFF Tag Image File Format, abbreviated TIFF or TIF, is an image file format for storing raster graphics images, popular among graphic artists, the publishing industry, and photographers. TIFF is widely supported by scanning, faxing, word process ...
file if the
byte order In computing, endianness, also known as byte sex, is the order or sequence of bytes of a word of digital data in computer memory. Endianness is primarily expressed as big-endian (BE) or little-endian (LE). A big-endian system stores the most s ...
marker is misunderstood. * 10792 = weird number. * 10800 = number of bricks used for the ''uttaravedi'' in the
Agnicayana The Agnicayana ('; ) or Athirathram ( ml, അതിരാത്രം) is a category of advanced Śrauta rituals. After one has established the routine of the twice-daily routine of Agnihotra offerings and biweekly ''dara-purna-masa'' offerin ...
ritual. * 10837 = star prime. * 10856 = amicable number with 10744. * 10905 = Wedderburn–Etherington number * 10922 =
repdigit In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal). The word is a portmanteau of repeated and digit. Example ...
in base 4 (22222224), and palindromic in base 8 (252528). * 10946 =
Fibonacci number In mathematics, the Fibonacci numbers, commonly denoted , form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones. The sequence commonly starts from 0 and 1, although some authors start the sequence from ...
,
Markov number A Markov number or Markoff number is a positive integer ''x'', ''y'' or ''z'' that is part of a solution to the Markov Diophantine equation :x^2 + y^2 + z^2 = 3xyz,\, studied by . The first few Markov numbers are : 1, 2, 5, 13, 29, 34, 89 ...
. * 10958 = the smallest positive integer that cannot be represented by an equation using increasing order of integers from 1 to 9 and basic arithmetic operations. * 10989 = reverses when multiplied by 9. * 10990 = weird number.


11000 to 11999

* 11025 = 1052, sum of the cubes of the first 14 positive integers. * 11083 = palindromic prime in 2 consecutive bases: 23 (KLK23) and 24 (J5J24). * 11111 = repdigit. * 11297 = number of planar partitions of 16 * 11298 = Riordan number * 11311 = palindromic prime. * 11340 = Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16. * 11353 =
star prime A star number is a centered figurate number, a centered hexagram (six-pointed star), such as the Star of David, or the board Chinese checkers is played on. The ''n''th star number is given by the formula ''Sn'' = 6''n''(''n'' − 1) + 1. The ...
. * 11368 = pentagonal pyramidal number * 11410 = weird number. * 11411 = palindromic prime in base 10. * 11424 = Harshad number in bases 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16. * 11440 = square pyramidal number. * 11480 = tetrahedral number. * 11605 = smallest integer to start a run of five consecutive integers with the same number of divisors. * 11690 = weird number. * 11717 = twin prime with 11719. * 11719 = cuban prime, twin prime with 11717. * 11726 = octahedral number. * 11826 = smallest number whose
square (algebra) In mathematics, a square is the result of multiplication, multiplying a number by itself. The verb "to square" is used to denote this operation. Squaring is the same as exponentiation, raising to the power 2 (number), 2, and is denoted by a ...
is pandigital without zeros. * 11953 = palindromic prime in bases 7 (465647) and 30 (D8D30).


12000 to 12999

* 12000 = 12,000 of each of the
twelve tribes of Israel The Twelve Tribes of Israel ( he, שִׁבְטֵי־יִשְׂרָאֵל, translit=Šīḇṭēy Yīsrāʾēl, lit=Tribes of Israel) are, according to Hebrew scriptures, the descendants of the biblical patriarch Jacob, also known as Israel, thro ...
made up the
144,000 144,000 is a natural number. It has significance in various religious movements and ancient prophetic belief systems. Religion Christianity Book of Revelation The number 144,000 appears three times in the Book of Revelation: * Revelation 7:3–8 ...
servants of God who were 'sealed' according to the
Book of Revelation The Book of Revelation is the final book of the New Testament (and consequently the final book of the Christian Bible). Its title is derived from the first word of the Koine Greek text: , meaning "unveiling" or "revelation". The Book of ...
in the
New Testament The New Testament grc, Ἡ Καινὴ Διαθήκη, transl. ; la, Novum Testamentum. (NT) is the second division of the Christian biblical canon. It discusses the teachings and person of Jesus, as well as events in first-century Chris ...
. * 12048 = number of non-isomorphic set-systems of weight 12. * 12097 = cuban prime. * 12101 = Friedman prime. * 12107 = Friedman prime. * 12109 = Friedman prime. * 12110 = weird number. * 12167 = 233 * 12172 = number of triangle-free graphs on 10 vertices * 12198 = semi-meandric number * 12251 = number of primes \leq 2^. * 12285 = amicable number with 14595. * 12287 =
Thabit number In number theory, a Thabit number, Thâbit ibn Qurra number, or 321 number is an integer of the form 3 \cdot 2^n - 1 for a non-negative integer ''n''. The first few Thabit numbers are: : 2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 61 ...
. * 12289 =
Proth prime A Proth number is a natural number ''N'' of the form N = k \times 2^n +1 where ''k'' and ''n'' are positive integers, ''k'' is odd and 2^n > k. A Proth prime is a Proth number that is prime. They are named after the French mathematician François ...
,
Pierpont prime In number theory, a Pierpont prime is a prime number of the form 2^u\cdot 3^v + 1\, for some nonnegative integers and . That is, they are the prime numbers for which is 3-smooth. They are named after the mathematician James Pierpont, who us ...
. * 12321 = 1112,
Demlo number In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands for repeated unit and was coined in 1966 by Albert H. Beiler in his book ''Recreat ...
, palindromic square. * 12341 = tetrahedral number. * 12407 = cited on QI as the smallest uninteresting positive integer in terms of arithmetical mathematics.On the basis that it did not then (November 2011) appear in Sloane's
On-Line Encyclopedia of Integer Sequences The On-Line Encyclopedia of Integer Sequences (OEIS) is an online database of integer sequences. It was created and maintained by Neil Sloane while researching at AT&T Labs. He transferred the intellectual property and hosting of the OEIS to t ...
.
* 12421 = palindromic prime. * 12496 = smallest sociable number. * 12529 = square pyramidal number. * 12530 = weird number. * 12670 = weird number. * 12721 = palindromic prime. * 12726 = Ruth–Aaron pair. * 12758 = largest number that cannot be expressed as the sum of distinct cubes. * 12765 = Finnish
internet meme An Internet meme, commonly known simply as a meme ( ), is an idea, behavior, style, or image that is spread via the Internet, often through social media platforms. What is considered a meme may vary across different communities on the Internet ...
; the code accompanying no-prize caps in a
Coca-Cola Coca-Cola, or Coke, is a carbonated soft drink manufactured by the Coca-Cola Company. Originally marketed as a temperance bar, temperance drink and intended as a patent medicine, it was invented in the late 19th century by John Stith Pembe ...
bottle top prize contest. Often spelled out ''yksi'' – ''kaksi'' – ''seitsemän'' – ''kuusi'' – ''viisi'', ''ei voittoa'', "one – two – seven – six – five, no prize". * 12769 = 1132, palindromic in base 3. * 12821 = palindromic prime.


13000 to 13999

* 13131 = octahedral number. * 13244 = tetrahedral number. * 13267 = cuban prime. * 13331 = palindromic prime. * 13370 = weird number. * 13510 = weird number. * 13581 = Padovan number. * 13669 = cuban prime. * 13685 = square pyramidal number. * 13790 = weird number. * 13792 = largest number that is not a sum of 16 fourth powers. * 13820 =
meandric number In mathematics, a meander or closed meander is a self-avoiding closed curve which intersects a line a number of times. Intuitively, a meander can be viewed as a road crossing a river through a number of bridges. Meander Given a fixed oriented li ...
, open meandric number. * 13824 = 243 * 13831 = palindromic prime. * 13860 =
Pell number In mathematics, the Pell numbers are an infinite sequence of integers, known since ancient times, that comprise the denominators of the closest rational approximations to the square root of 2. This sequence of approximations begins , , , , an ...
. * 13930 = weird number. * 13931 = palindromic prime. * 13950 = pentagonal pyramidal number.


14000 to 14999

* 14190 = tetrahedral number. * 14200 = number of
n-Queens Problem The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other; thus, a solution requires that no two queens share the same row, column, or diagonal. There are 92 solutions ...
solutions for n – 12. * 14341 = palindromic prime. * 14400 = 1202, sum of the cubes of the first 15 positive integers. * 14595 = amicable number with 12285. * 14641 = 1212 = 114, palindromic square (base 10). * 14644 = octahedral number. * 14701 =
Markov number A Markov number or Markoff number is a positive integer ''x'', ''y'' or ''z'' that is part of a solution to the Markov Diophantine equation :x^2 + y^2 + z^2 = 3xyz,\, studied by . The first few Markov numbers are : 1, 2, 5, 13, 29, 34, 89 ...
. * 14741 = palindromic prime. * 14770 = weird number. * 14884 = 1222, palindromic square in base 11. * 14910 = square pyramidal number.


15000 to 15999

* 15015 = smallest odd and square-free
abundant number In number theory, an abundant number or excessive number is a number for which the sum of its proper divisors is greater than the number. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16. Th ...
. * 15120 = highly composite number. * 15180 = tetrahedral number. * 15376 = 1242, pentagonal pyramidal number. * 15387 = Zeisel number. * 15451 = palindromic prime. * 15511 = Motzkin prime. * 15551 = palindromic prime * 15610 = weird number. * 15625 = 1252 = 253 = 56 * 15629 = Friedman prime. * 15640 = initial number of only four-, five-, or six-digit century to contain two prime quadruples (in between which lies a record
prime gap A prime gap is the difference between two successive prime numbers. The ''n''-th prime gap, denoted ''g'n'' or ''g''(''p'n'') is the difference between the (''n'' + 1)-th and the ''n''-th prime numbers, i.e. :g_n = p_ - p_n.\ W ...
of 43). * 15661 = Friedman prime. * 15667 = second nice Friedman prime. * 15679 = Friedman prime. * 15793 – number of parallelogram polyominoes with 13 cells. * 15841 = Carmichael number. * 15876 = 1262, palindromic square in base 5. * 15890 = weird number.


16000 to 16999

* 16030 = weird number. * 16061 = palindromic prime. * 16072 = logarithmic number. * 16091 = strobogrammatic prime. * 16206 = square pyramidal number. * 16269 = octahedral number. * 16310 = weird number. * 16361 = palindromic prime. * 16381 = Friedman prime. * 16384 = 1282 = 214, palindromic in base 15. * 16447 = third nice Friedman prime. * 16561 = palindromic prime. * 16580 =
Leyland number In number theory, a Leyland number is a number of the form :x^y + y^x where ''x'' and ''y'' are integers greater than 1. They are named after the mathematician Paul Leyland. The first few Leyland numbers are : 8, 17, 32, 54, 57, 100, 145, 17 ...
. * 16651 = cuban prime. * 16661 = palindromic prime. * 16730 = weird number. * 16759 = Friedman prime. * 16796 =
Catalan number In combinatorial mathematics, the Catalan numbers are a sequence of natural numbers that occur in various counting problems, often involving recursively defined objects. They are named after the French-Belgian mathematician Eugène Charles Ca ...
. * 16807 = 75 * 16843 = smallest Wolstenholme prime. * 16870 = weird number. * 16879 = Friedman prime. * 16896 = pentagonal pyramidal number. * 16999 = number of
partially ordered set In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set. A poset consists of a set together with a binary ...
with 8 unlabeled elements.


17000 to 17999

* 17073 = number of free 11-ominoes. * 17163 = the largest number that is not the sum of the squares of distinct primes. * 17272 = weird number. * 17296 = amicable number with 18416. * 17344 =
Kaprekar number In mathematics, a natural number in a given number base is a p-Kaprekar number if the representation of its square in that base can be split into two parts, where the second part has p digits, that add up to the original number. The numbers are n ...
. * 17389 = 2000th prime number. * 17471 = palindromic prime. * 17570 = weird number. * 17575 = square pyramidal number. * 17576 = 263, palindromic in base 5. * 17689 = 1332, palindromic in base 11. * 17711 =
Fibonacci number In mathematics, the Fibonacci numbers, commonly denoted , form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones. The sequence commonly starts from 0 and 1, although some authors start the sequence from ...
. * 17971 = palindromic prime. * 17990 = weird number. * 17991 = Padovan number.


18000 to 18999

* 18010 = octahedral number. * 18181 = palindromic prime, strobogrammatic prime. * 18334 = number of planar partitions of 17 * 18410 = weird number. * 18416 = amicable number with 17296. * 18481 = palindromic prime. * 18496 = 1362, sum of the cubes of the first 16 positive integers. * 18600 =
harmonic divisor number In mathematics, a harmonic divisor number, or Ore number (named after Øystein Ore who defined it in 1948), is a positive integer whose divisors have a harmonic mean that is an integer. The first few harmonic divisor numbers are: : 1, 6, 28, ...
. * 18620 = harmonic divisor number. * 18785 = Leyland number. * 18830 = weird number. * 18970 = weird number.


19000 to 19999

* 19019 = square pyramidal number. * 19141 =
unique prime The reciprocals of prime numbers have been of interest to mathematicians for various reasons. They do not have a finite sum, as Leonhard Euler proved in 1737. Like all rational numbers, the reciprocals of primes have repeating decimal represen ...
in
base 12 The duodecimal system (also known as base 12, dozenal, or, rarely, uncial) is a positional notation numeral system using twelve as its base. The number twelve (that is, the number written as "12" in the decimal numerical system) is instead wr ...
. * 19302 = number of ways to partition and then partition each cell (block) into subcells. * 19390 = weird number. * 19391 = palindromic prime. * 19441 = cuban prime. * 19455 = smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers. * 19513 = tribonacci number. * 19531 =
repunit prime In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands for repeated unit and was coined in 1966 by Albert H. Beiler in his book ''Recre ...
in base 5. * 19600 = 1402, tetrahedral number. * 19601/13860 ≈ √2 * 19609 = first
prime A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
followed by a
prime gap A prime gap is the difference between two successive prime numbers. The ''n''-th prime gap, denoted ''g'n'' or ''g''(''p'n'') is the difference between the (''n'' + 1)-th and the ''n''-th prime numbers, i.e. :g_n = p_ - p_n.\ W ...
of over fifty. * 19670 = weird number. * 19683 = 273, 39 * 19739 = fourth nice Friedman prime. * 19871 = octahedral number. * 19891 = palindromic prime. * 19927 = cuban prime. * 19991 = palindromic prime.


Primes

There are 1033 prime numbers between 10000 and 20000, a count that is itself prime. It is 196 prime numbers less than the number of primes between 0 and 10000 (
1229 Year 1229 ( MCCXXIX) was a common year starting on Monday (link will display the full calendar) of the Julian calendar. Events By place Sixth Crusade * February 18 – Treaty of Jaffa: Emperor Frederick II signs a 10-year truce ...
, also prime).


See also

* * 10,000 (disambiguation)


Notes


References


External links

{{Integers, 10 10000 (number) 10000