Numbers / 419

The Number 419

419 is prime: only 1 and 419 divide it evenly; the next prime after 419 is 421. 419's proper divisors total just 1, 418 short of 419, the deficient case most of 419's neighbors share too. 419 has a digit sum of 14; for 419, the digital root works out to 5. 419 shares no factor with 2-12; 419's own divisors start beyond that range. 419 is 110100011 in binary and 1A3 in hex; as a Roman numeral it's CDXIX.