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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.
37 and 38 are the first pair of consecutive positive integers not divisible by any of their digits. 38 is the largest even number which cannot be written as the sum of two odd composite numbers. The sum of each row of the only non-trivial (order 3) magic hexagon is 38. [4]
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
The number of domino tilings of a 4×4 checkerboard is 36. [10] Since it is possible to find sequences of 36 consecutive integers such that each inner member shares a factor with either the first or the last member, 36 is an Erdős–Woods number. [11] The sum of the integers from 1 to 36 is 666 (see number of the beast). 36 is also a ...
The number 137, according to Lederman, "shows up naked all over the place", meaning that scientists on any planet in the universe using whatever units they have for charge or speed, and whatever their version of the Planck constant may be, will all come up with 137, because it is a pure number.
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33 is the 21st composite number, and 8th distinct semiprime (third of the form where is a higher prime). [1] It is one of two numbers to have an aliquot sum of 15 = 3 × 5 — the other being the square of 4 — and part of the aliquot sequence of 9 = 3 2 in the aliquot tree (33, 15, 9, 4, 3, 2, 1).
703 equals the sum of the first 37 non-zero positive integers, equivalently the 37th triangular number. [4] The harmonic mean of its divisors is 3.7. 373 has a prime index of 74, or twice 37. [5] Like 73 and 37, 373 is a permutable prime alongside 337 and 733, the second of three trios of three-digit permutable primes in decimal.