![]() In these respects, duodecimal is considered superior to decimal, which has only 2 and 5 as factors, and other proposed bases like octal or hexadecimal. As a result, duodecimal has been described as the optimal number system. There is also higher regularity observable in the duodecimal multiplication table. All multiples of reciprocals of 3-smooth numbers ( a / 2 b♳ c where a,b,c are integers) have a terminating representation in duodecimal. The number twelve, a superior highly composite number, is the smallest number with four non-trivial factors (2, 3, 4, 6), and the smallest to include as factors all four numbers (1 to 4) within the subitizing range, and the smallest abundant number. The Dozenal Societies of America and Great Britain (organisations promoting the use of duodecimal) use turned digits in their published material: 2 (a turned 2) for ten and 3 (a turned 3) for eleven. Various symbols have been used to stand for ten and eleven in duodecimal notation this page uses A and B, as in hexadecimal, which make a duodecimal count from zero to twelve read 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, 10. In duodecimal, "100" means twelve squared, "1000" means twelve cubed, and "0.1" means a twelfth. In duodecimal, the number twelve is denoted "10", meaning 1 twelve and 0 units in the decimal system, this number is instead written as "12" meaning 1 ten and 2 units, and the string "10" means ten. The duodecimal system, also known as base 12 or dozenal, is a positional numeral system using twelve as its base.
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