 |
|
| |
|
|
|
at Global Oneness Community.
Share your dreams and let others help you with the interpretation!
Dream Sharing Forum
|
|
6 number - In mathematics | | 6 number - In mathematics: Encyclopedia II - 6 number - In mathematics | | Six is the second smallest composite number, its proper divisors being 1, 2 and 3. Since six equals the sum of these proper divisors, six is a perfect number. As a perfect number, 6 is related to the Mersenne prime 3, since 21(22 - 1) = 6. The next perfect number is 28. Six is also a unitary perfect number, a harmonic divisor number and a highly composite number. The next highly composite number is 12.
The smallest non-abelian group is the symmetric group S ...
See also:6 number, 6 number - In mathematics, 6 number - The Arabic glyph, 6 number - In science, 6 number - In music, 6 number - In sports, 6 number - In technology, 6 number - In television, 6 number - In other fields | | | 6 number, 6 number - In mathematics, 6 number - In music, 6 number - In other fields, 6 number - In science, 6 number - In sports, 6 number - In technology, 6 number - In television, 6 number - The Arabic glyph | | |
| | | 6 number: Encyclopedia II - 6 number - In mathematics
6 number - In mathematics
Six is the second smallest composite number, its proper divisors being 1, 2 and 3. Since six equals the sum of these proper divisors, six is a perfect number. As a perfect number, 6 is related to the Mersenne prime 3, since 21(22 - 1) = 6. The next perfect number is 28. Six is also a unitary perfect number, a harmonic divisor number and a highly composite number. The next highly composite number is 12.
The smallest non-abelian group is the symmetric group S3 which has 3! = 6 elements.
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. A closely related result is the following theorem: 6 is the only natural number n for which there is a construction of n isomorphic objects on an n-set A, invariant under all permutations of A, but not naturally in 1-1 correspondence with the elements of A. This can also be expressed category theoretically: consider the category whose objects are the n element sets and whose arrows are the bijections between the sets. This category has a non-trivial functor to itself only for n=6.
Six similar coins can be arranged around a central coin of the same radius so that each coin makes contact with the central one (and touches both its neighbors without a gap), but seven cannot be so arranged. This makes 6 the answer to the two-dimensional kissing number problem. The densest sphere packing of the plane is obtained by extending this pattern to the hexagonal lattice in which each circle touches just six others.
In binary code, six is 110; in ternary code six is 20; in quaternary numeral system code six is 12; in quinary six is 11; in senary six is 10; in septenary code and all codes above (such as octal, decimal and hexadecimal) six is 6. Since it is divisible by the sum of its digits in all these bases, 6 is one of the four all-Harshad numbers.
A six-sided polygon is a hexagon. Figurate numbers representing hexagons (including six) are called hexagonal numbers. Six is also an octahedral number. It is a triangular number and so is its square (36).
In base 10, 6 is a 1-automorphic number.
Other related archives>>, 0, 1, 10, 12, 1906, 2, 20, 28, 3, 3!, 30, 36, 4, 40, 5, 50, 6, 6 B.C., 60, 7, 70, 8, 80, 9, 90, A. A. Milne, Al Kaline, American Football, Andromeda, Asia, Astrology, August, Battlestar Galactica (2003), Bionic Six, Birmingham Six, BlackBerry, Blossom, Bohuslav Martinů, Brandenburg Concertos, Butterfly Cluster, Béla Bartók, Cardinal Directions, Chinese history, Christmas carol, Cricket, Cub Scouts, Dilley sextuplets, Electric Six, Eurasia, Europe, Eve 6, Extra-sensory perception, February 10, Figurate numbers, French Revolutionary calendar, Friday, Georg Frideric Handel, Greek, Hexadecimal, Hexameter, Integers, J, Johann Sebastian Bach, John L. Holland, Julian reform, July 25, June, K, Latin, Les Six, List of numbers, Lost Generation, M, M6, March 16, May 3, Mersenne prime, Messier object, N, New General Catalogue, Number Six, Number of the Beast, O, Over, Peter Tchaikovsky, Roman calendar, SI prefix, Saros, Saturday, Scorpius, See also, Sextilis, Six Degrees of Kevin Bacon, Six Dynasties, Sixpence None the Richer, Stan Musial, Star of David, Steiner system, The Prisoner, The Twelve Days of Christmas, Thursday, United States, Virgo, WSYX, Zodiac, abelian, all-Harshad numbers, amateur radio, animal, astrological sign, astronomy, atomic number, atoms, atto, automorphic number, baseball, benzene, bijections, binary, bonds, boundary, broadcast, carbon, category, chemical compounds, circle, coffin, composite number, constellation, continents, cricket, cricket terminology, cube, decade, decimal, die, divisors, domino, east, exa, feet, functor, geyser, group, guitar, harmonic divisor number, heaven, hexadecimal, hexagon, hexagonal, hexagonal numbers, hexahedron, hexapod, highly composite number, insects, kissing number problem, land, lattice, lunar eclipse, natural number, north, number base, numeral system, octahedral number, octal, open cluster, outer automorphism, perfect number, polygon, polyhedron, prefix, projective plane, quarks, quaternary, quinary, regular polygon, rugby union, senary, senator, septenary, seven-segment displays, sexdactyly, sextant, sextet, sextuplets, shortstop, six meter band, six-pack, solar eclipse, south, sphere packing, spiral galaxy, square, symmetric group, systematic name, television series, ternary, text figures, touchdown, triangular number, unitary perfect number, west, year
 Adapted from the Wikipedia article "In mathematics", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
|
|
|
More material related to 6 Number can be found here:
|
|
|
« Back
|
Search the Global Oneness web site |
|
|
|
|
|
Sneak-Peek of Global Oneness Community
Hi friend! The Global Oneness Community, the place for information and sharing about Oneness is not really launched yet (you will see there is still some clean up to do) ...but it is now open for a sneak-peek! And if you wish - please register and become one of the very first members to do so! Jonas
Forum Home,
Articles,
Photo Gallery,
Videos,
News,
Sitemap
...and much more!
|
