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
Greek numeral	ΛΖ´
Roman numeral	XXXVII, xxxvii
Binary	1001012
Ternary	11013
Senary	1016
Octal	458
Duodecimal	3112
Hexadecimal	2516

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

In mathematics

37 is a prime number, ^[1] a sexy prime, and a Padovan prime 37 is the first irregular prime with irregularity index of 1. ^[2] 37 is the smallest non-supersingular prime in moonshine theory. 37 is also an emirp because it remains prime when its digits are reversed.

The secretary problem is also known as the 37% rule, since ${\displaystyle {\tfrac {1}{e}}\approx 37\%}$.

Astronomy

The 37 Cluster

• NGC 2169 is known as the 37 Cluster, due to its resemblance of the numerals.

References

1. Sloane, N. J. A. (ed.). "SequenceA007510(Single (or isolated or non-twin) primes: Primes p such that neither p-2 nor p+2 is prime.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-12-05.
2. "Sloane's A000928: Irregular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-31.

External links

• 37 Heaven Large collection of facts and links about this number.