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 168

  • 168 is the number of hours in a week
  • 168 is the size of the smallest non-cyclic simple group which is not an alternating group
  • 168 is the number of primes less than 1000
  • 168 is the total number of spots on a set of dominoes (submitted by Ken Knowlton)
  • 165 is the smallest number with more than one nonzero digit whose cubed digits sum to a cube (13 + 63 + 83 = 729 = 93)
  • 168 is the smallest integer areas of an integer-sided triangle such that the length of its circumradius is a square

Common Properties of 168