# Number Gossip

(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)

## Unique Properties of 38

- 38 is the magic constant in the only possible magic hexagon (which utilizes all the natural integers up to and including 19)
- XXXVIII (=38) is lexicographically the last string which represents a valid Roman numeral
- 38 is the largest even number which cannot be written as the sum of two odd composite numbers
- 38 is the magic sum of the only non-trivial magic hexagon
- 38 is the largest known even number which can be represented as a sum of two distinct primes in only one way (38 = 31 + 7)
- 38 is the sum of squares of the first three primes (38 = 2
^{2}+ 3^{2}+ 5^{2})