# duodecimal

The duodecimal system is a positional number system with base 12, using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A and B.

The duodecimal comes fro Latin.  There is also a less used synonym duodecadic mixed of a Latin begin and a Greek end and still a purely Greek dodecadic.

Some divisibility tests in duodecimal are:

$n$ is divisible by 2 if its least significant digit is 0, 2, 4, 6, 8 or A.

$n$ is divisible by 3 if its least significant digit is 0, 3, 6 or 9.

$n$ is divisible by 4 if its least significant digit is 0, 4 or 8.

$n$ is divisible by 6 if its least significant digit is 0 or 6.

$n$ is divisible by 11 if it has digital root B.

$n$ is of course divisible by 12 if it ends in a 0.

$n$ is divisible by 13 if the difference of the odd placed digits and the even place digits of $n$ is a multiple of 13.

Title duodecimal Duodecimal 2013-03-22 16:20:55 2013-03-22 16:20:55 PrimeFan (13766) PrimeFan (13766) 5 PrimeFan (13766) Definition msc 11A63