# 37

This number is a prime.

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There is a total of 37 decimal digits in the Collatz trajectory for 37. [Gaydos]

The smallest positive integer that is never prime when followed by a string of ones, i.e., 371, 3711, 37111, 371111, ... are all composite numbers for any number of ones. [Gaydos]

37 is the maximum sum of digits for a distinct digit cube (76^3, 289^3, and 319^3). It is also the maximum sum of digits for a distinct digit fourth power (44^4). [Gaydos]

The most common sum of digits of the distinct-digit primes is 37. [Gaydos]

(There are 13 curios for this number that have not yet been approved by an editor.)

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