36 (number)
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36 (thirty-six) 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 35 and preceding 37.


In mathematics

36 is both the square of six and a triangular number, making it a square triangular number. It is the smallest square triangular number other than one, and it is also the only triangular number other than one whose
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 . ...
is also a triangular number. It is also a Harshad number. It is the smallest number ''n'' with exactly eight solutions to the equation \phi(x)=n. It is the smallest number with exactly nine
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, leading 36 to be a highly composite number. Adding up some subsets of its divisors (e.g., 6, 12, and 18) gives 36; hence, it is a semiperfect number. This number is the sum of the cubes of the first three positive
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 and also the product of the squares of the first three positive integers. 36 is the number of degrees in the interior angle of each tip of a regular pentagram. The thirty-six officers problem is a mathematical puzzle with no solution. The number of possible outcomes (not summed) in the roll of two distinct
dice Dice (singular die or dice) are small, throwable objects with marked sides that can rest in multiple positions. They are used for generating random values, commonly as part of tabletop games, including dice games, board games, role-playing ...
. 36 is the largest numeric base that some computer systems support because it exhausts the numerals, 0–9, and the letters, A-Z. See Base 36. The truncated cube and the truncated octahedron are
Archimedean solid In geometry, an Archimedean solid is one of the 13 solids first enumerated by Archimedes. They are the convex uniform polyhedra composed of regular polygons meeting in identical vertices, excluding the five Platonic solids (which are compose ...
s with 36 edges. The number of domino tilings of a 4×4
checkerboard A checkerboard (American English) or chequerboard (British English; see spelling differences) is a board of checkered pattern on which checkers (also known as English draughts) is played. Most commonly, it consists of 64 squares (8×8) of altern ...
is 36. Since it is possible to find sequences of 36 consecutive integers such that each inner member shares a factor with either the first or the last member, 36 is an Erdős–Woods number. The sum of the integers from 1 to 36 is
666 666 may refer to: * 666 (number) * 666 BC, a year * AD 666, a year * The number of the beast, a reference in the Book of Revelation in the New Testament Places * 666 Desdemona, a minor planet in the asteroid belt * U.S. Route 666, an America ...
(see
number of the beast The number of the beast ( grc-koi, Ἀριθμὸς τοῦ θηρίου, ) is associated with the Beast of Revelation in chapter 13, verse 18 of the Book of Revelation. In most manuscripts of the New Testament and in English translations of t ...
).


Measurements

* The number of inches in a yard (3 feet). * In the UK, a standard beer barrel is 36 UK gallons, about 163.7 litres.


In science

*The
atomic number The atomic number or nuclear charge number (symbol ''Z'') of a chemical element is the charge number of an atomic nucleus. For ordinary nuclei, this is equal to the proton number (''n''p) or the number of protons found in the nucleus of ever ...
of
krypton Krypton (from grc, κρυπτός, translit=kryptos 'the hidden one') is a chemical element with the symbol Kr and atomic number 36. It is a colorless, odorless, tasteless noble gas that occurs in trace amounts in the atmosphere and is of ...
*Many early computers featured a 36-bit word length *36 is the number of characters required to store the display name of a UUID or
GUID A universally unique identifier (UUID) is a 128-bit label used for information in computer systems. The term globally unique identifier (GUID) is also used. When generated according to the standard methods, UUIDs are, for practical purposes, un ...
(e.g., 00000000-0000-0000-C000-000000000046).


In religion

* Jewish tradition holds that the number 36 has had special significance since the beginning of time: According to the
Midrash ''Midrash'' (;"midrash"
''Random House Webster's Unabridged Dictionary''.
he, מִדְרָשׁ; ...
, the light created by God on the first day of
creation Creation may refer to: Religion *''Creatio ex nihilo'', the concept that matter was created by God out of nothing *Creation myth, a religious story of the origin of the world and how people first came to inhabit it *Creationism, the belief that ...
shone for exactly 36 hours; it was replaced by the light of the Sun that was created on the Fourth Day. The
Torah The Torah (; hbo, ''Tōrā'', "Instruction", "Teaching" or "Law") is the compilation of the first five books of the Hebrew Bible, namely the books of Genesis, Exodus, Leviticus, Numbers and Deuteronomy. In that sense, Torah means the ...
commands 36 times to love, respect and protect the stranger. Furthermore, in every generation there are 36 righteous people (the ''"Lamed Vav Tzadikim"'') in whose merit the world continues to exist. In the modern celebration of
Hanukkah or English translation: 'Establishing' or 'Dedication' (of the Temple in Jerusalem) , nickname = , observedby = Jews , begins = 25 Kislev , ends = 2 Tevet or 3 Tevet , celebrations = Lighting candles each nig ...
, 36 candles are kindled in the menorah over the eight days of that holiday (not including the ''shamash'' candle). * In one
Māori Māori or Maori can refer to: Relating to the Māori people * Māori people of New Zealand, or members of that group * Māori language, the language of the Māori people of New Zealand * Māori culture * Cook Islanders, the Māori people of the Co ...
legend, concerning the creation of mankind by the god Tāne, 36 gods took active part in assembling the various parts of the first human before Tāne breathed life into her. * In
Shaivism Shaivism (; sa, शैवसम्प्रदायः, Śaivasampradāyaḥ) is one of the major Hindu traditions, which worships Shiva as the Supreme Being. One of the largest Hindu denominations, it incorporates many sub-traditions rangi ...
(s.a. Kaśmir Śaivism),
The 36 tattvas The tattvas in Indian philosophy are elements or principles of reality. Tattvas are the basic concepts to understand the nature of absolute, the souls and the universe in Samkhya and Shaivite philosophies. Samkhya philosophy lists 25 tattvas while ...
describe the Absolute, its internal aspects and the creation including living beings, down to the physical reality. * In Egyptian religion, the 36 decans are a series of gods presiding over the degrees of the zodiac and the fixed stars.


In the arts, culture, and philosophy

* ''36 Views of Mount Fuji'', a famous series of prints by Japanese ukiyo-e artist Katsushika Hokusai * '' The 36th Chamber of Shaolin'' is a 1978 kung fu film * ''
36 Quai des Orfèvres 36 may refer to: * 36 (number), the natural number following 35 and preceding 37 * One of these years of Gregorian or Julian calendars: ** 36 BC, 1st century BCE ** AD 36, 1st century ** 1936, 20th century ** 2036, 21st century Arts and entertain ...
'', often referred to simply as , a French police film * '' The Thirty-Six Dramatic Situations'' are considered a useful conceptual aid in theater. * '' Thirty-Six Stratagems'' are a collection of Chinese proverbs illustrating useful approaches to conflict situations. * In French-speaking countries, 36 is often used as a placeholder number. * 36 Crazyfists are a four-piece metal band from Alaska. * 36? (Thirty-Six) is a Canadian Psychedelic rock band
On Newgrounds
* 36 is the alias of ambient/experimental musician Dennis Huddleston from the UK. * '' Enter The Wu-Tang (36 Chambers)'' is an album by
Wu-Tang Clan Wu-Tang Clan is an American hip hop group formed in Staten Island, New York City, in 1992. Its original members include RZA, GZA, Ol' Dirty Bastard, Method Man, Raekwon, Ghostface Killah, Inspectah Deck, U-God, and Masta Killa. Close aff ...
* ''The 36 Lessons of Vivec'' is the title of a book series in the video game '' The Elder Scrolls III: Morrowind''. * The game of roulette has 36 numbers on the number layout and roulette wheel (together with a 0 or 00 depending on whether it is a European wheel 37 or American wheel 38) * The roulette based game Rollorpoker uses 36 playing cards on the wheel and playing grid, instead of numbers. * "36" is a song by System of a Down *" 36 Degrees" is a song by the band Placebo


In sports

* Most runs one can hit off a (non-penalised) over in cricket. See six sixes in an over. *The amount of races in a NASCAR Cup Series season. * Australian basketball team the Adelaide 36ers is named after the year in which
South Australia South Australia (commonly abbreviated as SA) is a States and territories of Australia, state in the southern central part of Australia. It covers some of the most arid parts of the country. With a total land area of , it is the fourth-largest o ...
was founded. * The number of consecutive bowling strikes in a 900 series (3 consecutive perfect games) * The number of vehicles that run in each race of
NASCAR The National Association for Stock Car Auto Racing, LLC (NASCAR) is an American auto racing sanctioning and operating company that is best known for stock car racing. The privately owned company was founded by Bill France Sr. in 1948, and ...
's Camping World Truck Series. * India's lowest ever test innings score in cricket, versus Australia at the Adelaide Oval on 18 December 2020


In other fields

* Perfect score on the ACT. * ( Oilfield terminology): A pipe wrench 36 inches long * +36 is the code for international direct-dialphone calls to
Hungary Hungary ( hu, Magyarország ) is a landlocked country in Central Europe. Spanning of the Carpathian Basin, it is bordered by Slovakia to the north, Ukraine to the northeast, Romania to the east and southeast, Serbia to the south, Cr ...


See also

*
List of highways numbered 36 The following highways are numbered 36: International * European route E36 Australia * City Road, Sydney * Domain Highway, Tasmania * Arnhem Highway Canada *Alberta Highway 36 * Ontario Highway 36 * Saskatchewan Highway 36 China * G36 Nanji ...


References

{{Integers, zero Integers