A senary numeral system is a base-six numeral system. The name heximal is also valid for such a numeral system, but is deprecated to avoid confusion with the more often used hexadecimal number base, colloquially known as 'hex'. A numeral is a symbol or group of symbols that represents a number. ... Six can refer to: 6, a number. ... In mathematics and computer science, hexadecimal, or simply hex, is a numeral system with a radix or base of 16 usually written using the symbols 0–9 and A–F or a–f. ...

Senary may be considered useful in the study of prime numbers since all primes other than 2 and 3 have 1 or 5 as the final digit: In mathematics, a prime number (or prime) is a natural number greater than one whose only positive divisors are one and itself. ...

 2,3,5,11,15,21,25,31,35,45,51,101,105,111,115,125,.... 

Furthermore, all known perfect numbers besides 6 itself have 44 as the final two digits. In mathematics, a perfect number is defined as an integer which is the sum of its proper positive divisors, excluding itself. ...

Base six can be counted on hands by using each hand as a digit (0 to 5). The digit zero is represented by a fist (no fingers extended). Using this method, it is possible for one person to represent values from zero to 55_senary (= 35_decimal), rather than the usual ten obtained in standard finger-counting. Decimal, or less commonly, denary, usually refers to the base 10 numeral system. ...

Interestingly, the number 3333_senary is equal to 777_decimal.

Fractions

Due to the fact that six is the product of the first two prime numbers and is adjacent to the next two prime numbers, many senary fractions have simple representations: In mathematics, a prime number (or prime) is a natural number greater than one whose only positive divisors are one and itself. ...

 Decimal Senary 1/2 1/2 = 0.3 1/3 1/3 = 0.2 1/4 1/4 = 0.13 1/5 1/5 = 0.1111 recurring 1/6 1/10 = 0.1 1/7 1/11 = 0.05050505 recurring 1/8 1/12 = 0.043 1/9 1/13 = 0.04 1/10 1/14 = 0.03333 recurring 1/12 1/20 = 0.03 1/14 1/22 = 0.023232323 recurring 1/15 1/23 = 0.022222222 recurring 1/16 1/24 = 0.0213 1/18 1/30 = 0.02 1/20 1/32 = 0.014444444 recurring 

See also: octal, decimal, duodecimal and hexadecimal. The octal numeral system is the base-8 number system, and uses the digits 0 to 7. ... Decimal, or less commonly, denary, usually refers to the base 10 numeral system. ... A duodecimal multiplication table The duodecimal (also known as base-twelve or dozenal) is a numeral system using twelve as its base. ... In mathematics and computer science, hexadecimal, or simply hex, is a numeral system with a radix or base of 16 usually written using the symbols 0–9 and A–F or a–f. ...