Number Gossip

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Unique Properties of 24

  • 24 is the only number that is the product of all the numbers less than its square root
  • 24 divides the difference between any two prime squares greater than three
  • There are 24 rotations of a cube
  • The diagonals of a regular hexagon divide it into 24 regions
  • 24 is the largest number n such that n! has n digits
  • Subtracting one from each of its divisors (except 1 and 2, but including itself) yields a prime number - 24 is the largest number with this property
  • 24 is the smallest abundant factorial
  • 24 is the only n greater than 1 such that the sum of squares of integers from 1 to n inclusive is itself a square. In other words, 24 is the only non-trivial solution to the cannonball problem
  • Three are 24 types of jigsaw pieces including the trivial square

Rare Properties of 24


Common Properties of 24