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 77

  • 77 is the smallest number with multiplicative persistence 4
  • 77 is the largest number that cannot be written as a sum of distinct numbers whose reciprocals sum to 1
  • 77 is the smallest number n such that the smallest possible number of multiplications required to compute x to the n-th power is by 1 fewer than the number of multiplications obtained by Knuth's power tree method

Common Properties of 77

Composite
Deficient
Evil
Odd
Palindrome
Square-free
Ulam