Numbers / 523

The Number 523

523 is prime: only 1 and 523 divide it evenly; the next prime after 523 is 541. 523's proper divisors total just 1, 522 short of 523, the deficient case most of 523's neighbors share too. 523 has a digit sum of 10; for 523, the digital root works out to 1. 523 shares no factor with 2-12; 523's own divisors start beyond that range. 523 is 1000001011 in binary and 20B in hex; as a Roman numeral it's DXXIII.