ROMSO Cyprus Knowledge Base

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6 (six) is the natural integer that follows 5 and precedes 7.

Writing

Figures
Most alphabets have a number to mean number six, particularly in the context of the Indo-Arab numeration system.

Arabic figure

The figure "six", symbolized "6", is the Arabic figure used, in particular, to mean the number six in the Western world.

Other current figures
The number "6" is not the only one used in the world. A number of alphabets — particularly those in the languages of the Indian subcontinent and South-East Asia — use different numbers, within the Indo-Arab numeration itself.

Other entries
In the binary system which is a basic positional rating system 2 and which therefore uses only the numbers "0" and "1", the number six is written 110.
In some additive numeration systems based on or sub-based on quinaires, the number six is written using values 5 and 1 plus values. Thus, in Roman numeration for example, it is written VI. In the Mayan numeration, he notes.

In mathematics
Six is the second smallest compound number (it is even highly compound), as it is the product of the first two prime numbers (2×3 = 6)

It's a perfect number — connected to the prime number of Mersenne 3 by: 2(2 – 1) = 6 — so to whole harmonic medium. It is also unitarily perfect.

6 is the factorial of 3, rated 3 !.

6 is the second non-Brazilian compound number.

The smallest non-Abelian group is the symmetrical group S which has 3 elements.
S, with 720 elements, is the only finite symmetrical group that has a nontrivial external automorphism group.

In combination, 6 is the third number of Ramseys.

In binary system, the representation of six is 110;

in the trinary system, the representation of six is 20;

In the quaternary system, the representation of six is 12;

in a quinaire system, the representation of six is 11;

in the seiner system, the representation of six is 10;

in base 7 and in all higher base systems (such as base 8, base 10 and base 16), the representation of six is 6. Since it is divisible by the sum of its figures in all these bases, 6 is one of the four complete Harshad numbers.

The successive whole powers of six are: 1, 6, 36, 216, 1296, 7776... In bases ten, fifteen and thirty, 6 is an automorphic number.

Six is a number of Pell companion.

A six-sided polygon is a hexagon, making six the hexagonal number. A cube can also be called a hexahedron. Six is also an oblong number, a triangular number (sum of the first four integers: 0 + 1 + 2 + 3 = 6), a centered pentagonal number, an octahedral number and a pentagonal pyramidal number.

6 is the sum of the first three pairs (0 + 2 + 4 = 6).

6 is the number of faces of a cube, one of the five regular polyhedrons.

Number 6 and quinaire base
In a big no