One million (1,000,000), or one
thousand
1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.
A group of one thousand th ...
thousand, is the
natural number following
999,999 and preceding 1,000,001. The word is derived from the early Italian ''millione'' (''milione'' in modern Italian), from ''mille'', "thousand", plus the
augmentative
An augmentative ( abbreviated ) is a morphological form of a word which expresses greater intensity, often in size but also in other attributes. It is the opposite of a diminutive.
Overaugmenting something often makes it grotesque and so in s ...
suffix ''-one''.
It is commonly abbreviated in British English as m
(not to be confused with the
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 pre ...
"m", ''
milli
''Milli'' (symbol m) is a unit prefix in the metric system denoting a factor of one thousandth (10−3). Proposed in 1793, and adopted in 1795, the prefix comes from the Latin , meaning ''one thousand'' (the Latin plural is ). Since 1960, the pre ...
'', for ), M, MM ("thousand thousands", from Latin "Mille"; not to be confused with the
Roman numeral
Roman numerals are a numeral system that originated in ancient Rome and remained the usual way of writing numbers throughout Europe well into the Late Middle Ages. Numbers are written with combinations of letters from the Latin alphabet, ...
= 2,000), mm (not to be confused with
millimetre), or mn in financial contexts.
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, ...
, it is written as or 10
6.
Physical quantities
A physical quantity is a physical property of a material or system that can be quantified by measurement. A physical quantity can be expressed as a ''value'', which is the algebraic multiplication of a ' Numerical value ' and a ' Unit '. For exam ...
can also be expressed using the
SI prefix
The International System of Units, known by the international abbreviation SI in all languages and sometimes pleonastically as the SI system, is the modern form of the metric system and the world's most widely used system of measurement. ...
mega
Mega or MEGA may refer to:
Science
* mega-, a metric prefix denoting 106
* Mega (number), a certain very large integer in Steinhaus–Moser notation
* "mega-" a prefix meaning "large" that is used in taxonomy
* Gravity assist, for ''Moon-Eart ...
(M), when dealing with
SI units; for example, 1
megawatt
The watt (symbol: W) is the unit of power or radiant flux in the International System of Units (SI), equal to 1 joule per second or 1 kg⋅m2⋅s−3. It is used to quantify the rate of energy transfer. The watt is named after James Wat ...
(1 MW) equals 1,000,000
watt
The watt (symbol: W) is the unit of power or radiant flux in the International System of Units (SI), equal to 1 joule per second or 1 kg⋅m2⋅s−3. It is used to quantify the rate of energy transfer. The watt is named after James Wat ...
s.
The meaning of the word "million" is common to the
short scale and long scale numbering systems, unlike the larger numbers, which have different names in the two systems.
The million is sometimes used in the English language as a
metaphor for a very large number, as in "Not in a million years" and "You're one in a million", or a
hyperbole, as in "I've walked a million miles" and "You've asked a million-dollar question".
1,000,000 is also 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-lengt ...
of
1000 and also the
cube
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. Viewed from a corner it is a hexagon and its net is usually depicted as a cross.
The cube is the only ...
of
100
100 or one hundred (Roman numeral: C) is the natural number following 99 and preceding 101.
In medieval contexts, it may be described as the short hundred or five score in order to differentiate the English and Germanic use of "hundred" to d ...
.
Visualizing one million
Even though it is often stressed that
counting to precisely a million would be an exceedingly tedious task due to the time and concentration required, there are many ways to bring the number "down to size" in approximate quantities, ignoring irregularities or packing effects.
* Information: Not counting spaces, the text printed on 136 pages of an
Encyclopædia Britannica
The ( Latin for "British Encyclopædia") is a general knowledge English-language encyclopaedia. It is published by Encyclopædia Britannica, Inc.; the company has existed since the 18th century, although it has changed ownership various ti ...
, or 600 pages of
pulp paperback fiction contains approximately one million characters.
* Length: There are one million
millimetres in a
kilometre, and roughly a million sixteenths of an
inch
Measuring tape with inches
The inch (symbol: in or ″) is a unit of length in the British imperial and the United States customary systems of measurement. It is equal to yard or of a foot. Derived from the Roman uncia ("twelfth"), ...
in a
mile (1 sixteenth = 0.0625). A typical
car
A car or automobile is a motor vehicle with wheels. Most definitions of ''cars'' say that they run primarily on roads, seat one to eight people, have four wheels, and mainly transport people instead of goods.
The year 1886 is regarded as ...
tire
A tire (American English) or tyre (British English) is a ring-shaped component that surrounds a wheel's rim to transfer a vehicle's load from the axle through the wheel to the ground and to provide traction on the surface over which t ...
might rotate a million times in a trip, while the engine would do several times that number of
revolutions.
* Fingers: If the
width of a human finger is , then a million fingers lined up would cover a distance of . If a person walks at a speed of , it would take them approximately five and a half hours to reach the end of the fingers.
* Area: A square a thousand objects or units on a side contains a million such objects or square units, so a million holes might be found in less than three square yards of window screen, or similarly, in about one half square foot (400–500 cm
2) of bed sheet cloth. A city lot 70 by 100 feet is about a million square inches.
* Volume: The cube root of one million is one hundred, so a million objects or cubic units is contained in a cube a hundred objects or linear units on a side. A million grains of
table salt
Salt is a mineral composed primarily of sodium chloride (NaCl), a chemical compound belonging to the larger class of salts; salt in the form of a natural crystalline mineral is known as rock salt or halite. Salt is present in vast quantiti ...
or granulated
sugar
Sugar is the generic name for sweet-tasting, soluble carbohydrates, many of which are used in food. Simple sugars, also called monosaccharides, include glucose, fructose, and galactose. Compound sugars, also called disaccharides or double s ...
occupies about , the volume of a cube one hundred grains on a side. One million cubic inches would be the volume of a small room feet long by feet wide by feet high.
* Mass: A million cubic millimetres (small droplets) of water would have a volume of one
litre and a mass of one
kilogram
The kilogram (also kilogramme) is the unit of mass in the International System of Units (SI), having the unit symbol kg. It is a widely used measure in science, engineering and commerce worldwide, and is often simply called a kilo colloquially ...
. A million millilitres or
cubic centimetres (one
cubic metre) of water has a mass of a million
grams or one
tonne
The tonne ( or ; symbol: t) is a unit of mass equal to 1000 kilograms. It is a non-SI unit accepted for use with SI. It is also referred to as a metric ton to distinguish it from the non-metric units of the short ton (United States c ...
.
* Weight: A million
honey bees would weigh the same as an person.
* Landscape: A
pyramidal hill wide at the base and high would weigh about a million short tons.
* Computer: A
display resolution of 1,280 by 800
pixels contains 1,024,000 pixels.
* Money: A
USD bill of any denomination weighs . There are 454 grams in a pound. One million USD bills would weigh or 1 tonne (just over 1
short ton
The short ton (symbol tn) is a measurement unit equal to . It is commonly used in the United States, where it is known simply as a ton,
although the term is ambiguous, the single word being variously used for short, long, and metric ton.
The var ...
).
* Time: A million
second
The second (symbol: s) is the unit of time in the International System of Units (SI), historically defined as of a day – this factor derived from the division of the day first into 24 hours, then to 60 minutes and finally to 60 seconds ea ...
s, 1 megasecond, is 11.57
day
A day is the time period of a full rotation of the Earth with respect to the Sun. On average, this is 24 hours, 1440 minutes, or 86,400 seconds. In everyday life, the word "day" often refers to a solar day, which is the length between two so ...
s.
In
Indian English and
Pakistani English, it is also expressed as 10
lakh. Lakh is derived from for 100,000 in
Sanskrit
Sanskrit (; attributively , ; nominally , , ) is a classical language belonging to the Indo-Aryan branch of the Indo-European languages. It arose in South Asia after its predecessor languages had diffused there from the northwest in the lat ...
.
Selected 7-digit numbers (1,000,001–9,999,999)
1,000,001 to 1,999,999
* 1,000,003 = Smallest 7-
digit
Digit may refer to:
Mathematics and science
* Numerical digit, as used in mathematics or computer science
** Hindu-Arabic numerals, the most common modern representation of numerical digits
* Digit (anatomy), the most distal part of a limb, suc ...
prime number
* 1,000,405 = Smallest
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 in ...
with 7 digits and the 1,414th triangular number
* 1,002,001 = 1001
2, palindromic square
* 1,006,301 = First number of the first pair of
prime quadruplets occurring thirty apart ( and )
* 1,024,000 = Sometimes, the number of bytes in a
megabyte
* 1,030,301 = 101
3, palindromic cube
* 1,037,718 =
Large Schröder number
* 1,048,576 = 1024
2 = 32
4 = 16
5 = 4
10 = 2
20, the number of
bytes in a
mebibyte
The byte is a unit of digital information that most commonly consists of eight bits. Historically, the byte was the number of bits used to encode a single character of text in a computer and for this reason it is the smallest addressable uni ...
(or often, a megabyte)
* 1,048,976 = smallest 7 digit Leyland number
* 1,058,576 = Leyland number
* 1,058,841 = 7
6 x 3
2
* 1,084,051 = fifth
Keith prime
* 1,089,270 =
harmonic divisor number
* 1,111,111 =
repunit
* 1,112,083 = logarithmic number
* 1,129,308
32 + 1 is prime
* 1,136,689 =
Pell number,
Markov number
* 1,174,281 = Fine number
* 1,185,921 = 1089
2 = 33
4
* 1,200,304 = 1
7 + 2
7 + 3
7 + 4
7 + 5
7 + 6
7 + 7
7
* 1,203,623 = smallest unprimeable number ending in 3
* 1,234,321 = 1111
2, palindromic square
* 1,262,180 = number of triangle-free graphs on 12 vertices
* 1,278,818 = Markov number
* 1,299,709 = 100,000th
prime number
* 1,336,336 = 1156
2 = 34
4
* 1,346,269 =
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
* 1,367,631 = 111
3, palindromic cube
* 1,413,721 =
square triangular number
In mathematics, a square triangular number (or triangular square number) is a number which is both a triangular number and a perfect square. There are infinitely many square triangular numbers; the first few are:
:0, 1, 36, , , , , , ,
Expl ...
* 1,419,857 = 17
5
* 1,421,280 = harmonic divisor number
* 1,441,440 =
colossally abundant number,
superior highly composite number
In mathematics, a superior highly composite number is a natural number which has the highest ratio of its number of divisors to ''some'' positive power of itself than any other number. It is a stronger restriction than that of a highly composite ...
* 1,441,889 = Markov number
* 1,500,625 = 1225
2 = 35
4
* 1,539,720 = harmonic divisor number
* 1,563,372 =
Wedderburn-Etherington number
* 1,594,323 = 3
13
* 1,596,520 = Leyland number
* 1,606,137 = number of ways to partition and then partition each cell (block) into subcells.
* 1,607,521/1,136,689 ≈
√2
* 1,647,086 = Leyland number
* 1,671,800 = Initial number of first century ''xx''00 to ''xx''99 consisting entirely of
composite number
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself. Every positive integer is composite, prime, o ...
s
* 1,679,616 = 1296
2 = 36
4 = 6
8
* 1,686,049 = Markov prime
* 1,687,989 = number of square (0,1)-matrices without zero rows and with exactly 7 entries equal to 1
* 1,730,787 =
Riordan number
* 1,741,725 = equal to the sum of the seventh power of its digits
* 1,771,561 = 1331
2 = 121
3 = 11
6, also, Commander Spock's estimate for the
tribble population in the ''
Star Trek
''Star Trek'' is an American science fiction media franchise created by Gene Roddenberry, which began with the eponymous 1960s television series and quickly became a worldwide pop-culture phenomenon. The franchise has expanded into var ...
'' episode "
The Trouble with Tribbles
"The Trouble with Tribbles" is the fifteenth episode of the second season of the American science fiction television series ''Star Trek''. Written by David Gerrold and directed by Joseph Pevney, it was first broadcast on December 29, 1967. In ...
"
* 1,864,637 = k such that the sum of the squares of the first k primes is divisible by k.
* 1,874,161 = 1369
2 = 37
4
* 1,889,568 = 18
5
* 1,928,934 = 2 x 3
9 x 7
2
* 1,941,760 = Leyland number
* 1,953,125 = 125
3 = 5
9
2,000,000 to 2,999,999
* 2,000,002 = number of surface-points of a tetrahedron with edge-length 1000
* 2,000,376 = 126
3
* 2,012,174 = Leyland number
* 2,012,674 = Markov number
* 2,085,136 = 1444
2 = 38
4
* 2,097,152 = 128
3 = 8
7 = 2
21
* 2,097,593 = Leyland prime
* 2,124,679 = largest known
Wolstenholme prime
* 2,178,309 =
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 ...
* 2,222,222 =
repdigit
* 2,313,441 = 1521
2 = 39
4
* 2,356,779 =
Motzkin number
In mathematics, the th Motzkin number is the number of different ways of drawing non-intersecting chords between points on a circle (not necessarily touching every point by a chord). The Motzkin numbers are named after Theodore Motzkin and have ...
* 2,423,525 = Markov number
* 2,476,099 = 19
5
* 2,560,000 = 1600
2 = 40
4
* 2,567,284 = number of
partially ordered set with 10 unlabeled elements
* 2,646,723 =
little Schroeder number
* 2,674,440 =
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 C ...
* 2,692,537 = Leonardo prime
* 2,744,210 = Pell number
* 2,796,203 =
Wagstaff prime, Jacobsthal prime
* 2,825,761 = 1681
2 = 41
4
* 2,890,625 = 1-
automorphic number
In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b whose square "ends" in the same digits as the number itself.
Definition and properties
Given a number base b, a natur ...
* 2,922,509 = Markov prime
* 2,985,984 = 1728
2 = 144
3 = 12
6 = 1,000,000
12 AKA a great-great-gross
3,000,000 to 3,999,999
* 3,111,696 = 1764
2 = 42
4
* 3,200,000 = 20
5
* 3,263,442 = product of the first five terms of
Sylvester's sequence
* 3,263,443 = sixth term of Sylvester's sequence
* 3,276,509 = Markov prime
* 3,301,819 =
alternating factorial
* 3,333,333 =
repdigit
* 3,360,633 = palindromic in 3 consecutive bases: 6281826
9 = 3360633
10 = 1995991
11
* 3,418,801 = 1849
2 = 43
4
* 3,426,576 = number of free 15-ominoes
* 3,524,578 = Fibonacci number,
Markov number
* 3,554,688 = 2-
automorphic number
In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b whose square "ends" in the same digits as the number itself.
Definition and properties
Given a number base b, a natur ...
* 3,626,149 = Wedderburn–Etherington prime
* 3,628,800 = 10!
* 3,748,096 = 1936
2 = 44
4
* 3,880,899/2,744,210 ≈
√2
4,000,000 to 4,999,999
* 4,008,004 = 2002
2, palindromic square
* 4,037,913 = sum of the first ten factorials
* 4,084,101 = 21
5
* 4,100,625 = 2025
2 = 45
4
* 4,194,304 = 2048
2 = 4
11 = 2
22
* 4,194,788 = Leyland number
* 4,208,945 = Leyland number
* 4,210,818 = equal to the sum of the seventh powers of its digits
* 4,213,597 =
Bell number
In combinatorial mathematics, the Bell numbers count the possible partitions of a set. These numbers have been studied by mathematicians since the 19th century, and their roots go back to medieval Japan. In an example of Stigler's law of epon ...
* 4,260,282 = Fine number
* 4,297,512 = 12-th derivative of x
x at x=1
* 4,324,320 = colossally abundant number,
superior highly composite number,
pronic number
* 4,400,489 = Markov number
* 4,444,444 =
repdigit
* 4,477,456 = 2116
2 = 46
4
* 4,782,969 = 2187
2 = 9
7 = 3
14
* 4,782,974 = n such that n , (3
n + 5)
* 4,785,713 = Leyland number
* 4,805,595 =
Riordan number
* 4,826,809 = 2197
2 = 169
3 = 13
6
* 4,879,681 = 2209
2 = 47
4
5,000,000 to 5,999,999
* 5,134,240 = the largest number that cannot be expressed as the sum of distinct fourth powers
* 5,153,632 = 22
5
* 5,221,225 = 2285
2, palindromic square
* 5,293,446 =
Large Schröder number
* 5,308,416 = 2304
2 = 48
4
* 5,496,925 = first
cyclic number in
base 6
* 5,555,555 =
repdigit
* 5,702,887 = Fibonacci number
* 5,761,455 = The number of primes under 10
8
* 5,764,801 = 2401
2 = 49
4 = 7
8
* 5,882,353 = 588
2 + 2353
2
6,000,000 to 6,999,999
* 6,250,000 = 2500
2 = 50
4
* 6,436,343 = 23
5
* 6,536,382 = Motzkin number
* 6,625,109 = Pell number,
Markov number
* 6,666,666 =
repdigit
* 6,765,201 = 2601
2 = 51
4
* 6,948,496 = 2636
2, palindromic square
7,000,000 to 7,999,999
* 7,109,376 = 1-
automorphic number
In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b whose square "ends" in the same digits as the number itself.
Definition and properties
Given a number base b, a natur ...
[
* 7,311,616 = 27042 = 524
* 7,453,378 = Markov number
* 7,529,536 = 27442 = 1963 = 146
* 7,652,413 = Largest n-digit pandigital prime
* 7,777,777 = repdigit
* 7,779,311 = A hit song written by Prince and released in 1982 by The Time
* 7,861,953 = Leyland number
* 7,890,481 = 28092 = 534
* 7,906,276 = pentagonal triangular number
* 7,913,837 = Keith number]
* 7,962,624 = 245
8,000,000 to 8,999,999
* 8,000,000 = Used to represent infinity in Japanese mythology
* 8,108,731 = 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 ''Recreat ...
in base 14
There are many different numeral systems, that is, writing systems for expressing numbers.
By culture / time period
By type of notation
Numeral systems are classified here as to whether they use positional notation (also known as place-value ...
* 8,388,607 = second composite Mersenne number with a prime exponent
* 8,388,608 = 223
* 8,389,137 = Leyland number
* 8,399,329 = Markov number
* 8,436,379 = Wedderburn-Etherington number
* 8,503,056 = 29162 = 544
* 8,675,309 = A hit song for Tommy Tutone (also a 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 8,675,311)
* 8,675,311 = Twin prime with 8,675,309
* 8,888,888 = repdigit
* 8,946,176 = self-descriptive number
In mathematics, a self-descriptive number is an integer
An integer is the number zero (), a positive natural number
In mathematics, the natural numbers are those number
A number is a mathematical object used to count, measure, ...
in base 8
9,000,000 to 9,999,999
* 9,150,625 = 30252 = 554
* 9,227,465 = Fibonacci number, Markov number
* 9,369,319 = Newman–Shanks–Williams prime
* 9,647,009 = Markov number
* 9,653,449 = square Stella octangula number
* 9,581,014 = n such that n , (3n + 5)
* 9,663,500 = Initial number of first century ''xx''00 to ''xx''99 that possesses an identical prime pattern to any century with four or fewer digits: its prime pattern of is identical to
* 9,694,845 = Catalan number
* 9,699,690 = eighth primorial
In mathematics, and more particularly in number theory, primorial, denoted by "#", is a function from natural numbers to natural numbers similar to the factorial function, but rather than successively multiplying positive integers, the function ...
* 9,765,625 = 31252 = 255 = 510
* 9,800,817 = equal to the sum of the seventh powers of its digits
* 9,834,496 = 31362 = 564
* 9,865,625 = Leyland number
* 9,926,315 = equal to the sum of the seventh powers of its digits
* 9,938,375 = 2153, the largest 7-digit cube
* 9,997,156 = largest 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 in ...
with 7 digits and the 4,471st triangular number
* 9,998,244 = 31622, the largest 7-digit square
* 9,999,991 = Largest 7-digit prime number
* 9,999,999 = repdigit
See also
* Huh (god)
Ḥeḥ (''ḥḥ'', also Huh, Hah, Hauh, Huah, and Hehu) was the personification of infinity or eternity in the Ogdoad in ancient Egyptian religion.Wilkinson, Richard H. (2003). ''The Complete Gods and Goddesses of Ancient Egypt''. Thames & Hud ...
, depictions of whom were also used in hieroglyphs to represent one million
* Megagon
A megagon or 1,000,000-gon is a polygon with one million sides (mega-, from the Greek μέγας, meaning "great", being a unit prefix denoting a factor of one million).
Regular megagon
A regular megagon is represented by the Schläfli symbol ...
* Millionaire
A millionaire is an individual whose net worth or wealth is equal to or exceeds one million units of currency. Depending on the currency, a certain level of prestige is associated with being a millionaire. In countries that use the short ...
* Names of large numbers
Two naming scales for large numbers have been used in English and other European languages since the early modern era: the long and short scales. Most English variants use the short scale today, but the long scale remains dominant in many non-E ...
* Orders of magnitude (numbers) to help compare dimensionless number
A dimensionless quantity (also known as a bare quantity, pure quantity, or scalar quantity as well as quantity of dimension one) is a quantity to which no physical dimension is assigned, with a corresponding SI unit of measurement of one (or ...
s between 1,000,000 and 10,000,000 (106 and 107)
.
References
{{DEFAULTSORT:1000000 (Number)
1000000
One million (1,000,000), or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian ''millione'' (''milione'' in modern Italian), from ''mille'', "thousand", plus the aug ...
Large numbers