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posted ago by penisse ago by penisse +37 / -1

From https://en.wikipedia.org/wiki/216_(number) :

  • Since 216 = 3^3 + 4^3 + 5^3 = 6^3, it is the smallest cube that is also the sum of three cubes (Plato was among the first to notice this, and mentioned it in Book VIII of Republic). It is also the sum of a twin prime (107 + 109). But since there is no way to express it as the sum of the proper divisors of any other integer, it is an untouchable number.
  • This multiplicative magic square

(2912

3661

3418 )

has magic constant 216.

  • It has been conjectured that each natural number not equal to 216 can be written in the form p + Tx, where p is 0 or a prime, and Tx = x(x+1)/2 is a triangular number.
  • In base 10, it is a Harshad number.
  • There are 216 fixed hexominoes, the polyominoes made from 6 squares.
  • 216 is a Friedman number.
  • 216 is the smallest number n, for which n−3, n−2, n−1, n+1, n+2, n+3 are all semiprimes.

Here’s Q Drop #216: https://qalerts.app/?q=%23216

See you tomorrow, Frens!?