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 1001

  • 1001 is the smallest palindromic product of 3 consecutive primes
  • 1001 is the smallest number containing 2 pairs of identical digits
  • 1001 is the smallest number whose seventh power contains the same set of digits as another seventh power. Surprisingly, it is also the smallest number whose eighth power contains the same set of digits as another eighth power

Rare Properties of 1001

Pentagonal

Common Properties of 1001

Composite
Deficient
Odd
Odious
Palindrome
Square-free