Number Gossip

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Unique Properties of 84

  • 84 is the smallest number that can be expressed as the sum of 3 distinct primes raised to distinct prime exponents: 84 = 25 + 33 + 52
  • 84 is the smallest area of integer-sided triangle whose area equals twice its perimeter
  • 84 is the smallest multidigit (and the only 2-digit) number n such that the sum of digits of n equals the sum of prime divisors of n

Rare Properties of 84

Tetrahedral (Pyramidal)

Common Properties of 84

Abundant
Composite
Even
Odious
Practical