|Factorization||2 × 3|
|Divisors||1, 2, 3, 6|
|Roman numeral (unicode)||Ⅵ, ⅵ, ↅ|
|Greek||στ (or ΣΤ or ς)|
|Arabic & Kurdish||٦|
- 1 In mathematics
- 2 Greek and Latin word parts
- 3 Evolution of the glyph
- 4 In music
- 5 In religion
- 6 In science
- 7 In sports
- 8 In technology
- 9 In calendars
- 10 In the arts and entertainment
- 11 In other fields
- 12 References
- 13 External links
Six is the smallest positive integer which is neither a square number nor a prime number.
Six is the smallest perfect number. Its proper divisors are 1, 2, and 3, and 1 + 2 + 3 = 6.
Six is the smallest natural number that can be written as the sum of two positive rational cubes which are not integers:
S6, with 720 elements, is the only finite symmetric group which has an outer automorphism. This automorphism allows us to construct a number of exceptional mathematical objects such as the S(5,6,12) Steiner system, the projective plane of order 4 and the Hoffman-Singleton graph.
There are six basic trigonometric functions.
The six exponentials theorem guarantees (given the right conditions on the exponents) the transcendence of at least one of a set of exponentials.
All primes above 3 are of the form 6n ± 1 for n ≥ 1.
List of basic calculations
|6 × x||6||12||18||24||30||36||42||48||54||60||66||72||78||84||90||96||102||108||114||120||150||300||600||6000|
|6 ÷ x||6||3||2||1.5||1.2||1||0.857142||0.75||0.6||0.6||0.54||0.5||0.461538||0.428571||0.4|
|x ÷ 6||0.16||0.3||0.5||0.6||0.83||1||1.16||1.3||1.5||1.6||1.83||2||2.16||2.3||2.5|
Greek and Latin word parts
Hexa is classical Greek for "six". Thus:
- "Hexadecimal" combines hexa- with the Latinate decimal to name a number base of 16
- A hexagon is a regular polygon with six sides
- A hexahedron is a polyhedron with six faces, with a cube being a special case
- Hexameter is a poetic form consisting of six feet per line
- A "hex nut" is a nut with six sides, and a hex bolt has a six-sided head
- The prefix "hexa-" also occurs in the systematic name of many chemical compounds, such as hexane which has 6 carbon atoms (C
The prefix sex-
- Senary is the ordinal adjective meaning "sixth"
- People with sexdactyly have six fingers on each hand
- The measuring instrument called a sextant got its name because its shape forms one-sixth of a whole circle
- A group of six musicians is called a sextet
- Six babies delivered in one birth are sextuplets
- Sexy prime pairs - Prime pairs differing by six are sexy, because sex is the Latin word for six.
Evolution of the glyph
The evolution of our modern glyph for 6 appears rather simple when compared with that for the other numerals. Our modern 6 can be traced back to the Brahmins of India, who wrote it in one stroke like a cursive lowercase e rotated 90 degrees clockwise. Gradually, the upper part of the stroke (above the central squiggle) became more curved, while the lower part of the stroke (below the central squiggle) became straighter. The Ghubar Arabs dropped the part of the stroke below the squiggle. From there, the European evolution to our modern 6 was very straightforward, aside from a flirtation with a glyph that looked more like an uppercase G.
On the seven-segment displays of calculators and watches, 6 is usually written with six segments. Some historical calculator models use just five segments for the 6, by omitting the top horizontal bar. This glyph variant has not caught on; for calculators that can display results in hexadecimal, a 6 that looks like a 'b' is not practical.
This numeral resembles an inverted 9. To disambiguate the two on objects and documents that can be inverted, the 6 has often been underlined, both in handwriting and on printed labels.
- Les Six ("The Six" in English) was a group consisting of the French composers Georges Auric, Louis Durey, Arthur Honegger, Darius Milhaud, Francis Poulenc and Germaine Tailleferre in the 1920s
- Bands with the number six in their name include Six Organs of Admittance, 6 O'Clock Saints, Electric Six, Eve 6, Los Xey (sei is Basque for "six"), Out On Blue Six, Six In Six, Sixpence None the Richer, Slant 6, Vanity 6, and You Me At Six
- #6 is the pseudonym of American musician Shawn Crahan, when performing with the band Slipknot
- A standard guitar has 6 strings
- Most woodwind instruments have 6 basic holes or keys (e.g., bassoon, clarinet, pennywhistle, saxophone); these holes or keys are usually not given numbers or letters in the fingering charts
In music theory
- There are 6 whole tones in an octave.
- There are 6 semitones in a tritone.
- "Six geese a-laying" were given as a present on the sixth day in the popular Christmas carol, "The Twelve Days of Christmas."
- Divided in six arias, Hexachordum Apollinis is generally regarded as one of the pinnacles of Johann Pachelbel's oeuvre.
- The theme of the sixth album by Dream Theater, Six Degrees Of Inner Turbulence, was the number six: the album has six songs, and the sixth song — that is, the complete second disc — explores the stories of six individuals suffering from various mental illnesses.
- Aristotle gave six elements of tragedy, the first of which is Mythos.
- There are 6:
- Yahweh took 6 days to create the world in the Old Testament Book of Genesis; humankind was created on day 6. In the City of God, Augustine of Hippo suggested (book 11, chapter 30) that God's creation of the world took six days because 6 is a perfect number.
- The Jewish holiday of Shavuot starts on the sixth day of the Hebrew month of Sivan
- Seraphs have six wings.
- In Islam:
- In Hindu theology, a trasarenu is the combination of 6 celestial paramānus (atoms)
See also 666.
- Messier object M6, a magnitude 4.5 open cluster in the constellation Scorpius, also known as the Butterfly Cluster
- The New General Catalogue object NGC 6, a spiral galaxy in the constellation Andromeda
- The Roman numeral VI:
- The cells of a beehive are 6-sided
- Insects have 6 legs
- Six kingdoms in the taxonomic rank below domain (biology); Animalia, Plantae, Fungi, Protista, Archaea/Archaeabacteria, and Bacteria/Eubacteria. See Kingdom (biology).
- The six elements most common in biomolecules are called the CHNOPS elements; the letters stand for the chemical abbreviations of carbon, hydrogen, nitrogen, oxygen, phosphorus, and sulfur. See CHON.
- A benzene molecule has a ring of 6 carbon atoms
- 6 is the atomic number of carbon
- The sixfold symmetry of snowflakes arises from the hexagonal crystal structure of ordinary ice
- A hexamer is an oligomer made of six subunits
- There are 6 tastes in traditional Indian Medicine called Ayurveda: sweet, sour, salty, bitter, pungent, and astringent. These tastes are used to suggest a diet based on the symptoms of the body
- Phase 6 is one of six pandemic influenza phases
- In the Standard Model of particle physics, there are 6 types of quarks and 6 types of leptons
- In statistical mechanics, the six-vertex model has 6 possible configurations of arrows at each vertex
- There are six colors in the RGB color wheel: (primary) red, blue, green, (secondary) cyan, magenta, and yellow. (See Tertiary color)
- The Original Six teams in the National Hockey League are Toronto, Chicago, Montreal, New York, Boston, and Detroit. They are the oldest remaining teams in the league, though not necessarily the first six; they comprised the entire league from 1942 to 1967
- Number of players:
- In association football (soccer), the number of substitutes combined by both teams, that are allowed in the game.
- In ice hockey, the number of players per team, including the goaltender, that are on the ice at any one time, excluding penalty situations.
- In volleyball, 6 players from each team on each side play against each other
- Six-man football is a variant of American or Canadian football, played by smaller schools with insufficient enrollment to field the traditional 11-man (American) or 12-man (Canadian) squad
- In most rugby league competitions (but not the European Super League, which uses static squad numbering), the jersey number 6 is worn by the starting five-eighth (Southern Hemisphere term) or stand-off half (Northern Hemisphere term).
- In rugby union, the starting blindside flanker wears jersey number 6. (Some teams use "left" and "right" flankers instead of "openside" and "blindside", with 6 being worn by the starting left flanker.)
- On most phones, the 6 key is associated with the letters M, N, and O, but on the BlackBerry it is the key for J and K, and on the BlackBerry 8700 series and Curve 8900 with full keyboard, it is the key for F
- The "6-meter band" in amateur radio includes the frequencies from 50 to 54 MHz
- 6 is the resin identification code used in recycling to identify polystyrene
- In the ancient Roman calendar, Sextilis was the sixth month. After the Julian reform, June became the sixth month and Sextilis was renamed August
- Sextidi was the sixth day of the decade in the French Revolutionary calendar
In the arts and entertainment
- The number of sides on a cube, hence the highest number on a standard die
- The six-sided tiles on a hex grid are used in many tabletop and board games.
- The highest number on one end of a standard domino
Comics and cartoons
- The Super 6, an 1966 animated cartoon series featuring six different super-powered heroes.
- The Bionic Six are the heroes of the eponymous animated series
- Sinister Six is a group of super villains who appear in American comic books published by Marvel Comics
- The Power of Six is a book written by Pittacus Lore, and the second in the Lorien Legacies series.
- Number 6 is a character in the book series Lorien Legacies
- Number Six (Tricia Helfer), is a family of fictional characters from the reimagined science fiction television series, Battlestar Galactica
- Number 6, the main protagonist in The Prisoner played by Patrick McGoohan, and portrayed by Jim Caviezel in the remake.
- Six is a character in the television series Blossom played by Jenna von Oÿ.
- Six is the nickname of Kal Varrik, a central character in the television series Dark Matter, played by Roger Cross.
- Six is a History channel series that chronicles the operations and daily lives of SEAL Team Six.
In other fields
- The name of the smallest group of Cub Scouts and Guiding's equivalent Brownies, traditionally consisting of six people and is led by a 'sixer'.
- Six pack is a common form of packaging for six bottles or cans of drink (especially beer), and by extension, other assemblages of six items.
- The fundamental flight instruments lumped together on a cockpit display are often called the Basic Six or six-pack.
- A coffin is traditionally buried six feet under the ground; thus, the phrase "six feet under" means that a person (or thing, or concept) is dead
- In Western astrology, Virgo is the 6th astrological sign of the Zodiac
- The number of dots in a Braille cell.
- There are said to be no more than six degrees of separation between any two people on Earth.
- See also Six degrees (disambiguation).
- Extrasensory perception is sometimes called the "sixth sense"
- Six human physical needs: breathe, urination, defecation, water, food, and sex
- The Six Dynasties form part of Chinese history
- 6 is a lucky number in Chinese culture
- The Birmingham Six were a British miscarriage of justice, held in prison for 16 years
- "Six" is used as an informal slang term for the British Secret Intelligence Service, MI6
- Six Flags is an American company running amusement parks and theme parks in the US, Canada, and Mexico
- In the U.S. Army "Six" as part of a radio call sign is used by the commanding officer of a unit, while subordinate platoon leaders usually go by "One". (For a similar example see also: Rainbow Six.)
- "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-01.
- Chris K. Caldwell; G. L. Honaker Jr. (2009). Prime Curios!: The Dictionary of Prime Number Trivia. CreateSpace Independent Publishing Platform. p. 11. ISBN 978-1448651702.
- Georges Ifrah, The Universal History of Numbers: From Prehistory to the Invention of the Computer transl. David Bellos et al. London: The Harvill Press (1998): 395, Fig. 24.66
- Mason, Robert (1983). Chickenhawk. London: Corgi Books. p. 141. ISBN 978-0-552-12419-5.
- The Odd Number 6, JA Todd, Math. Proc. Camb. Phil. Soc. 41 (1945) 66—68
- A Property of the Number Six, Chapter 6, P Cameron, JH v. Lint, Designs, Graphs, Codes and their Links ISBN 0-521-42385-6
- Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 67 - 69
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