| ||||
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Cardinal | fifty-nine | |||
Ordinal | 59th (fifty-ninth) | |||
Factorization | prime | |||
Prime | 17th | |||
Divisors | 1, 59 | |||
Greek numeral | ΝΘ´ | |||
Roman numeral | LIX | |||
Binary | 1110112 | |||
Ternary | 20123 | |||
Senary | 1356 | |||
Octal | 738 | |||
Duodecimal | 4B12 | |||
Hexadecimal | 3B16 |
59 (fifty-nine) is the natural number following 58 and preceding 60.
Fifty-nine is the 17th prime number. The next is sixty-one, with which it comprises a twin prime. 59 is an irregular prime,[1] a safe prime[2] and the 14th supersingular prime.[3] It is an Eisenstein prime with no imaginary part and real part of the form 3n − 1. Since 15! + 1 is divisible by 59 but 59 is not one more than a multiple of 15, 59 is a Pillai prime.[4]
It is also a highly cototient number.[5]
There are 59 stellations of the regular icosahedron, inclusive of the icosahedron.[6]
59 is one of the factors that divides the smallest composite Euclid number. In this case 59 divides the Euclid number 13# + 1 = 2 × 3 × 5 × 7 × 11 × 13 + 1 = 59 × 509 = 30031.
59 is the highest integer a single symbol may represent in the Sexagesimal system.
As 17 is prime, 59 is a super-prime.
The number 59 takes 3 iterations of the "reverse and add" process to form the palindrome 1111. All smaller integers (1 through 58) take either one or two iterations to form a palindrome through this process.[citation needed]
See also: List of highways numbered 59 |
Fifty-nine is: