6 Explained

Number:6
Numeral:senary
Divisor:1, 2, 3, 6
Roman:VI, vi, ↅ
Greek Prefix:hexa-/hex-
Latin Prefix:sexa-/sex-
Lang1:Greek
Lang1 Symbol:στ (or ΣΤ or ς)
Lang2:Arabic, Kurdish, Sindhi, Urdu
Lang3:Persian
Lang4:Amharic
Lang4 Symbol:
Lang5:Bengali
Lang6:Chinese numeral
Lang6 Symbol:六,陸
Lang7:Devanāgarī
Lang8:Gujarati
Lang9:Hebrew
Lang10:Khmer
Lang10 Symbol:
Lang11:Thai
Lang11 Symbol:
Lang12:Telugu
Lang12 Symbol:
Lang13:Tamil
Lang13 Symbol:
Lang14:Saraiki
Lang15:Malayalam
Lang15 Symbol:
Lang16:Armenian
Lang16 Symbol:Զ
Lang17:Babylonian numeral
Lang18:Egyptian hieroglyph
Lang20:Morse code

6 (six) is the natural number following 5 and preceding 7. It is a composite number and the smallest perfect number.

In mathematics

A six-sided polygon is a hexagon, one of the three regular polygons capable of tiling the plane. A hexagon also has 6 edges as well as 6 internal and external angles.

6 is the second smallest composite number.[1] It is also the first number that is the sum of its proper divisors, making it the smallest perfect number.[2] 6 is the first unitary perfect number, since it is the sum of its positive proper unitary divisors, without including itself. Only five such numbers are known to exist.[3] 6 is the largest of the four all-Harshad numbers.[4]

6 is the 2nd superior highly composite number,[5] the 2nd colossally abundant number,[6] the 3rd triangular number,[7] the 4th highly composite number,[8] a pronic number,[9] a congruent number,[10] a harmonic divisor number,[11] and a semiprime.[12] 6 is also the first Granville number, or

l{S}

-perfect number. A Golomb ruler of length 6 is a "perfect ruler".[13]
S3
which has 3! = 6 elements. 6 the answer to the two-dimensional kissing number problem.[15]

A cube has 6 faces. A tetrahedron has 6 edges. In four dimensions, there are a total of six convex regular polytopes.

In the classification of finite simple groups, twenty of twenty-six sporadic groups in the happy family are part of three families of groups which divide the order of the friendly giant, the largest sporadic group: five first generation Mathieu groups, seven second generation subquotients of the Leech lattice, and eight third generation subgroups of the friendly giant. The remaining six sporadic groups do not divide the order of the friendly giant, which are termed the pariahs (Ly, O'N, Ru, J4, J3, and J1).[16]

List of basic calculations

Division123456789101112131415
6 ÷ x6321.51.210.0.750.0.60.0.50.0.0.4
x ÷ 60.10.0.50.0.811.11.1.51.1.822.12.2.5
Exponentiation12345678109111213
6636216129677764665627993616796166046617610077696362797056217678233613060694016
x164729409615625466561176492621441000000531441177156129859844826809

Greek and Latin word parts

Greek, Ancient (to 1453);: Hexa

Greek, Ancient (to 1453);: Hexa is classical Greek for "six". Thus:

The prefix sex-

Sex- is a Latin prefix meaning "six". Thus:

The SI prefix for 10006 is exa- (E), and for its reciprocal atto- (a).

Evolution of the Hindu-Arabic digit

The evolution of our modern digit 6 appears rather simple when compared with the other digits. The modern 6 can be traced back to the Brahmi numerals of India, which are first known from the Edicts of Ashoka .[23] [24] [25] [26] It was written 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 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.[27]

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.

Just as in most modern typefaces, in typefaces with text figures the character for the digit 6 usually has an ascender, as, for example, in .[28]

This digit 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.

In music

In artists

In instruments

In music theory

In works

In religion

Judaism

Islam

Note 1: The word day is not always used in the Quran to mean a 24-hour period. According to Surah Al-Hajj (The Pilgrimage):47, a heavenly Day is 1000 years of our time. The Day of Judgment will be 50,000 years of our time - Surah Al-Maarij (The Ascending Stairways):4. Hence, the six Days of creation refer to six eons of time, known only by Allah.

Note 2: Some Islamic scholars believe this verse comes in response to Exodus 31:17, which says, "The Lord made the heavens and the earth in six days, but on the seventh day He rested and was refreshed."

Others

In science

Astronomy

Biology

Chemistry

Medicine

Physics

In technology

In calendars

Anthropology

See also

References

External links

Notes and References

  1. Web site: Weisstein. Eric W.. 6. 2020-08-03. mathworld.wolfram.com. en.
  2. Book: Higgins, Peter . Number Story: From Counting to Cryptography . registration . 2008 . Copernicus . New York . 978-1-84800-000-1 . 11 .
  3. 2016-06-01.
  4. Web site: Weisstein. Eric W.. Harshad Number. 2020-08-03. mathworld.wolfram.com. en.
  5. Web site: A002201 - OEIS . 2024-11-28 . oeis.org.
  6. Web site: A004490 - OEIS . 2024-11-28 . oeis.org.
  7. Web site: A000217 - OEIS . 2024-11-28 . oeis.org.
  8. Web site: A002182 - OEIS . 2024-11-28 . oeis.org.
  9. Web site: Sloane's A002378: Pronic numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. 2020-11-30.
  10. 2016-06-01.
  11. Web site: A001599 - OEIS . 2024-11-28 . oeis.org.
  12. 2023-08-03 .
  13. Bryan Bunch, The Kingdom of Infinite Number. New York: W. H. Freeman & Company (2000): 72
  14. Web site: Weisstein. Eric W.. Six Exponentials Theorem. 2020-08-03. mathworld.wolfram.com. en.
  15. Web site: Weisstein . Eric W. . Kissing Number . 2020-08-03 . mathworld.wolfram.com . en.
  16. Griess, Jr. . Robert L. . The Friendly Giant . . 69 . 1982 . 91–96 . 10.1007/BF01389186 . 1982InMat..69....1G . 2027.42/46608 . 671653 . 0498.20013 . 123597150 .
  17. Web site: Weisstein. Eric W.. Hexadecimal. 2020-08-03. mathworld.wolfram.com. en.
  18. Web site: Weisstein. Eric W.. Hexagon. 2020-08-03. mathworld.wolfram.com. en.
  19. Web site: Weisstein. Eric W.. Hexahedron. 2020-08-03. mathworld.wolfram.com. en.
  20. Web site: Weisstein. Eric W.. Base. 2020-08-03. mathworld.wolfram.com. en.
  21. Book: Chris K. Caldwell . G. L. Honaker Jr. . 2009 . Prime Curios!: The Dictionary of Prime Number Trivia . CreateSpace Independent Publishing Platform . 11 . 978-1-4486-5170-2 .
  22. Web site: Weisstein. Eric W.. Sexy Primes. 2020-08-03. mathworld.wolfram.com. en.
  23. Book: Hollingdale . Stuart . Makers of Mathematics . 2014 . Courier Corporation . 978-0-486-17450-1 . 95–96 . en.
  24. Book: Publishing . Britannica Educational . The Britannica Guide to Theories and Ideas That Changed the Modern World . 2009 . Britannica Educational Publishing . 978-1-61530-063-1 . 64 . en.
  25. Book: Katz . Victor J. . Parshall . Karen Hunger . Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century . 2014 . Princeton University Press . 978-1-4008-5052-5 . 105 . en.
  26. Book: Pillis . John de . 777 Mathematical Conversation Starters . 2002 . MAA . 978-0-88385-540-9 . 286 . en.
  27. 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
  28. Book: Negru, John. Computer Typesetting. 1988. Van Nostrand Reinhold. 978-0-442-26696-7. 59. en. slight ascenders that rise above the cap height (in 4 and 6).
  29. Book: Auric. Georges. Caramel Mou and Other Great Piano Works of "Les Six": Pieces by Auric, Durey, Honegger, Milhaud, Poulenc and Tailleferre. Durey. Louis. Honegger. Arthur. Milhaud. Darius. Poulenc. Francis. Tailleferre. Germaine. 2014-08-20. Courier Corporation. 978-0-486-49340-4. fr.
  30. Web site: Six Organs of Admittance. 2020-08-03. www.sixorgans.com.
  31. Web site: Electric Six Biography, Albums, Streaming Links. 2020-08-03. AllMusic. en-us.
  32. Web site: 2020-05-19. Sixpence None The Richer. 2020-08-04. GRAMMY.com. en.
  33. Web site: Slant 6 Biography & History. 2020-08-04. AllMusic. en-us.
  34. Web site: You Me at Six Biography & History. 2020-08-04. AllMusic. en-us.
  35. Web site: Definition of GUITAR. 2020-08-04. www.merriam-webster.com. en.
  36. Book: D'Amante, Elvo. Music Fundamentals: Pitch Structures and Rhythmic Design. 1994-01-01. Scarecrow Press. 978-1-4616-6985-2. 194. en. The division of an octave into six equal parts is referred to as the whole-tone scale.
  37. Book: Horsley, Charles Edward. A Text Book of Harmony: For the Use of Schools and Students. 1876. Sampson Low, Marston, Searle, & Rivington. 4. en. Like the Tritone, it contains six semitones.
  38. Book: Tribble, Mimi. 300 Ways to Make the Best Christmas Ever!: Decorations, Carols, Crafts & Recipes for Every Kind of Christmas Tradition. 2004. Sterling Publishing Company, Inc.. 978-1-4027-1685-0. 145. en. Six geese a-laying.
  39. Book: Staines, Joe. The Rough Guide to Classical Music. 2010-05-17. Penguin. 978-1-4053-8321-9. 393. en. ...the six arias with variations collected under the title Hexachordum Apollinis (1699)....
  40. Book: Hegarty. Paul. Beyond and Before: Progressive Rock since the 1960s. Halliwell. Martin. 2011-06-23. Bloomsbury Publishing USA. 978-1-4411-1480-8. 169. en. Six Degrees of Inner Turbulence.
  41. Book: Curran, Angela. Routledge Philosophy Guidebook to Aristotle and the Poetics. 2015-10-05. Routledge. 978-1-317-67706-2. 133. en. THE SIX QUALITATIVE ELEMENTS OF TRAGEDY.
  42. Book: Plaut, W. Gunther. The Magen David: How the Six-pointed Star Became an Emblem for the Jewish People. 1991. B'nai B'rith Books. 978-0-910250-16-0. en. How the Six-pointed Star Became an Emblem for the Jewish People.
  43. Book: Lauterbach, Jacob Zallel. Midrash and Mishnah: A Study in the Early History of the Halakah. 1916. Bloch. 9. en. Six orders of Mishnah.
  44. Book: Rosen. Ceil. Christ in the Passover. Rosen. Moishe. 2006-05-01. Moody Publishers. 978-1-57567-480-3. 79. en. Six symbolic foods.
  45. Book: Repcheck, Jack. The Man Who Found Time: James Hutton And The Discovery Of Earth's Antiquity. 2008-12-15. Basic Books. 978-0-7867-4399-5. en. it actually took only six days to create the earth.
  46. Web site: CHURCH FATHERS: City of God, Book XI (St. Augustine). 2020-08-04. www.newadvent.org. These works are recorded to have been completed in six days (the same day being six times repeated), because six is a perfect number.
  47. Book: Grossman. Grace Cohen. Judaica at the Smithsonian: Cultural Politics as Cultural Model. Ahlborn. Richard E.. Institution. Smithsonian. 1997. Smithsonian Institution Press. 228. en. Shavuot falls on the sixth day of the Hebrew month of Sivan.
  48. Book: Robertson, William Archibald Scott. The crypt of Canterbury cathedral; its architecture, its history, and its frescoes. 1880. Mitchell & Hughes. 91. en. ...but seraphs, with six wings.
  49. Book: Shapera, Paul M.. Iran's Religious Leaders. 2009-08-15. The Rosen Publishing Group, Inc. 978-1-4358-5283-9. 10. en. Islam has six articles of faith.
  50. Book: Algül, Hüseyin. The Blessed Days and Nights of the Islamic Year. 2005. Tughra Books. 978-1-932099-93-5. 65. en. ...it was blessed to fast for six days in the month of Shawwal....
  51. Web site: Surah Qaf - 38 . 2023-08-28 . Quran.com . en.
  52. Book: Bary. William Theodore De. Sources of Chinese Tradition. DeBary. William T.. Chan. Wing-tsit. Lufrano. Richard. Ching. Julia. Johnson. David. Liu. Kwang-Ching. Mungello. David. 1999. Columbia University Press. 978-0-231-11270-3. en. ...and the Six Ministries were made....
  53. Book: Rhoads, Samuel E.. The Sky Tonight: A Guided Tour of the Stars Over Hawaiʻi. 1996. Bishop Museum Press. 978-0-930897-93-2. en. Three Messier objects are visible in this part of the sky : M6, M7 and M8 ..
  54. Book: Sedgwick, Marcus. White Crow. 2011-07-05. Roaring Brook Press. 978-1-4299-7634-3. 145. en. The cells of honeycombs are six-sided because a hexagon is the most material-efficient tessellation.
  55. Book: Parker, Steve. Ant Lions, Wasps & Other Insects. 2005. Capstone. 978-0-7565-1250-7. 16. en. Insects have six legs each....
  56. Book: Pendarvis. Murray P.. Exploring Biology in the Laboratory: Core Concepts. Crawley. John L.. 2019-02-01. Morton Publishing Company. 978-1-61731-899-3. 10. en. ...presently at least six kingdoms are recognized;.
  57. Book: Mader, Sylvia S.. Biology. 2004. McGraw-Hill. 978-0-07-291934-9. 20. en. The acronym CHNOPS helps us remember these six elements.
  58. Book: Dufour, Fritz . The Realities of Reality - Part II: Making Sense of Why Modern Science Advances . 1 . 2018-09-19. Fritz Dufour. 100. en. The benzene molecule has its six carbon atoms in a ring.
  59. Book: Starr. Cecie. Biology Today and Tomorrow without Physiology. Evers. Christine. 2012-05-10. Cengage Learning. 978-1-133-36536-5. 25. en. For example, the atomic number of carbon is 6,.
  60. Book: Webb. Stephen. Out of this World: Colliding Universes, Branes, Strings, and Other Wild Ideas of Modern Physics. Webb. Professor of Australian Studies Stephen. 2004-05-25. Springer Science & Business Media. 978-0-387-02930-6. 16. en. snowflake, with its familiar sixfold rotational symmetry.
  61. Book: Woo. Teri Moser. Pharmacotherapeutics For Advanced Practice Nurse Prescribers. Robinson. Marylou V.. 2015-08-03. F.A. Davis. 978-0-8036-4581-3. 145. en. Ayurvedic herbology is based on the tridoshic theory that there exist six basic tastes.
  62. Book: Pandemic Influenza Preparedness and Response Guidance for Healthcare Workers and Healthcare Employers. 2007. OSHA, U.S. Department of Labor. 8. en. The WHO Plan describes six phases of increasing public health risk associated with the emergence of a new influenza.
  63. Book: Sanghera, Paul. Quantum Physics for Scientists and Technologists: Fundamental Principles and Applications for Biologists, Chemists, Computer Scientists, and Nanotechnologists. 2011-03-08. John Wiley & Sons. 978-0-470-92269-9. 64. en. ...there are six types of quarks and six types of leptons..
  64. Book: Jimbo. M.. Integrable Systems in Quantum Field Theory and Statistical Mechanics. Jimbo. Michio. Miwa. Tetsuji. Tsuchiya. Akihiro. 1989. Academic Press. 978-0-12-385342-4. 588. en. Allowed configurations in the six-vertex model and their statistical weights.
  65. Book: Sloan, Robin James Stuart. Virtual Character Design for Games and Interactive Media. 2015-05-07. CRC Press. 978-1-4665-9820-1. 34. en. placing six primaries around the wheel in the following order: red, yellow, green, cyan, blue, magenta..
  66. Book: Stevens, E. S.. Green Plastics: An Introduction to the New Science of Biodegradable Plastics. 2002. Princeton University Press. 978-0-691-04967-0. 45. en.
  67. Book: Bunson, Matthew. Encyclopedia of the Roman Empire. 2014-05-14. Infobase Publishing. 978-1-4381-1027-1. 90. en. Augustus was also originally called Sextilis, the sixth month..
  68. Book: Nicolas, Sir Nicholas Harris. The Chronology of History: Containing Tables, Calculations and Statements, Indispensable for Ascertaining the Dates of Historical Events and of Public and Private Documents from the Earliest Period to the Present Time. 1833. Longham, Rees, Orme, Brown, Green, & Longman and John Taylor. 172. en. SEXTIDI, or " Jour de la Révolution, ".
  69. Web site: Rimes. Wendy. 2016-04-01. The Reason Why The Dead Are Buried Six Feet Below The Ground. 2020-08-06. Elite Readers. en-US.
  70. Web site: Six Degrees of Peggy Bacon. 2020-08-06. www.aaa.si.edu. 27 June 2012 . en.
  71. Web site: Virgo constellation and astrological sign. 2020-08-06. Encyclopedia Britannica. en.
  72. Book: Wilkinson. Endymion Porter. Chinese History: A Manual. Wilkinson. Scholar and Diplomat (Eu Ambassador to China 1994-2001) Endymion. 2000. Harvard Univ Asia Center. 978-0-674-00249-4. 11. en.
  73. News: Peirce. Gareth. 2011-03-12. The Birmingham Six: Have we learned from our disgraceful past?. en-GB. The Guardian. 2020-08-06. 0261-3077.
  74. Book: Smith, Michael. Six: The Real James Bonds 1909-1939. 2011-10-31. Biteback Publishing. 978-1-84954-264-7. en.