Senary system

A senary system is a Numbering system basic Six.

All the prime numbers except 2 and 3 finish is by 1 or 5.

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

All the perfect numbers known excluded 6 itself finish by 44.

Base 6 can be counted on the hands by using each hand like a figure (0 to 5). Figure 0 is represented by a fist (no raised finger).

Here first figures from 1 to 23 into senary (column of right-hand side) and their decimal value (left-hand column):

1 1 2 2 3 3 4 4 5 5 6 10 7 11 8 12 9 13 10 14 11 15 12 20 13 21 14 22 15 23 16 24 17 25 18 30 19 31 20 32 21 33 22 34 23 35 24 40 25 41 26 42 27 43 28 44 29 45 30 50 31 51 32 52 33 53 34 54 35 55 36 100 37 101 38 102 39 103 40 104 41 105 42 110 43 111 44 112 45 113 46 114 47 115 48 120 49 121 50 122 51 123 52 124 Benchmarks 1 1 2 2 3 3 4 4 6 10 7 11 12 20 18 30 24 40 36 100 42 110 72 200 108 300 144 400 216 1000 432 2000 648 3000 864 4000 1296 10000

The senary number 3333₆ is equal to the number Décimal 777₁₀.

Fractions

Six is the product of the two first prime numbers and is adjacent with the two following. This produced much fraction senary simple.

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 repetition 1/6 1/10 = 0,1 1/7 1/11 = 0,05050505 repetition 1/8 1/12 = 0,043 1/9 1/13 = 0,04 1/10 1/14 = 0,03333 repetition

1/12 1/20 = 0,03 1/14 1/22 = 0,023232323 repetition 1/15 1/23 = 0,022222222 repetition 1/16 1/24 = 0,0213

See also: octal, Decimal, duodecimal and Hexadecimal.

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