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 154

  • The diagonals of a regular nonagon divide it into 154 regions
  • 154 is the smallest starting index of a string of exactly 3 consecutive equal digits in decimal expansion of Pi
  • 154 = (1*5*4)*(1+5+4) - pi((1*5*4)*(1+5+4)), where pi(n) is the number of primes less or equal to n. Note that 154 is the smallest multidigit number with this property

Common Properties of 154

Composite
Deficient
Even
Evil
Lazy caterer
Square-free