6 (number)
Category:Integers\n
6 (six) is the
natural number following
5 and preceding
7.
In mathematics
\nSix 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 2
1(2
2 - 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.
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 numberss.
In
Roman numerals six is VI.
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
triangle number and so is its
square (
36).
In base 10, 6 is a 1-
automorphic number.
In other fields
Six is:\n*In cricket, a shot in which the ball clears the
boundary (cricket) without bouncing; see
Six (cricket).\n*In
rugby union, the position of blindside flanker.\n*The
atomic number of
carbon.\n*The length of a standard term of a
United States senator.\n*The name of the smallest group of
Cub Scouts, traditionally consisting of six people and is led by a 'sixer'. Logically speaking, this isn't always the case, particularly in packs with less than 6 Cub Scouts in it.\n*The number of cans in a six-pack.\n*The number of carbon
atoms and carbon-carbon
bonds in
benzene.\n*The number of
feet below ground level a
coffin is traditionally buried; thus, the phrase "six feet under" means that a person (or thing, or concept) is dead.\n*The number of inhabited
continents, and the total number of continents if
Eurasia (
Europe plus
Asia) is considered a single continent.\n*The number of large
geyser fields in the world.\n*The number of points on a
Star of David.\n*The number of
primary and secondary colors in the
rainbow (not counting
indigo).\n*The number of similar coins that can be arranged around a central
seventh coin of the same kind so that each coin makes contact with the central one and touches both its neighbors without a gap; see also
Sphere packing.\n*The number of strings on a standard
guitar.
In addition:\n*
Number Six was the main character in the
television series The Prisoner.\n*"Six Geese a Laying" were given as a present on the sixth day in the popular
Christmas carol The Twelve Days of Christmas.\n*
Les Six were a group of
Lost Generation writers.\n*One of
A. A. Milne's poetry books was entitled
Now We Are Six.\n*
Extra-sensory perception is sometimes called the "sixth sense".\n*Bands with the number six in their name include
Eve 6 and
Sixpence None the Richer.\n*The
Six dynasties form part of
Chinese history.\n*The Bionic Six are the heroes of an animated series.\n*The
Birmingham Six were held in prison for 16 years.\n*
Six Degrees of Kevin Bacon is a game that can be played with the names of actors and actresses.\n*RIASEC is a system that places occupations into six categories.\n*666 is considered the
Number of the Beast.\n*The
year "6" can refer to: A.D.
6,
6 B.C, or
1906.
Hexa is
Greek for "six". Thus:\n* A
hexahedron is a
polyhedron with six faces, with a
cube being a special case.\n* A
hexapod is an
animal with six legs; this includes all
insects.\n*
Hexameter is a poetic form consisting of six feet per line.
The prefix "hexa-" also occurs in the
systematic name of many chemical compounds, such as "hexamethyl".
Sex- is a
Latin prefix meaning "six". Thus:\n*A group of six musicians is called a
sextet.\n*Six babies delivered in one birth are
sextuplets. The first set of sextuplets of whom all six survived are the Dilley Sexuplets.\n*People with
sexdactyly have six fingers on each hand.\n*The measuring instrument called a
sextant got its name because its shape forms one sixth of a whole
circle.
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