37 (number)

← 36 37 38 →
← 30 31 32 33 34 35 36 37 38 39 → List of numbers — Integers ← 0 10 20 30 40 50 60 70 80 90 →
Cardinal	thirty-seven
Ordinal	37th (thirty-seventh)
Factorization	prime
Prime	12th
Divisors	1, 37
Roman numeral	XXXVII
Binary	1001012
Ternary	11013
Quaternary	2114
Quinary	1225
Senary	1016
Octal	458
Duodecimal	3112
Hexadecimal	2516
Vigesimal	1H20
Base 36	1136

37 (thirty-seven) is the natural number following 36 and preceding 38.

Thirty-seven is the 12th prime number, a permutable prime with 73 (which is the 21st prime number). 37 is the fifth lucky prime, the first irregular prime, the third unique prime and the third cuban prime of the form

37 is the smallest prime that is not also a supersingular prime.

It is a centered hexagonal number and a star number.

Every positive integer is the sum of at most 37 fifth powers (see Waring's problem).

37 appears in the Padovan sequence, preceded by the terms 16, 21, and 28 (it is the sum of the first two of these).

Since the greatest prime factor of 37² + 1 = 1370 is 137, which is substantially more than 37 twice, 37 is a Størmer number.

The jersey number 37 has been retired by several North American sports teams in honor of past greats:

Thirty-seven is:

...
Wikipedia