Number Gossip

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Unique Properties of 613

  • 613 is the smallest prime such that bringing the first digit to the back produces a triangular number (136) and repeating this operation produces a square (361)
  • 613 is the smallest number n such that the numbers of divisors of n, n+1, n+2 and n+3 are k, 2k, 4k, 8k respectively for some k

Common Properties of 613

Deficient
Lucky
Odd
Odious
Prime
Square-free