Number Gossip

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Unique Properties of 728

  • Consecutive Smith numbers are called Smith brothers: 728 is the smaller brother of the smallest pair of Smith brothers
  • 728 is the smallest number n where n and n+1 are both products of 5 or more primes
  • 728 is the smallest number that is the sum of two (possibly negative) cubes in at least 3 ways, in other words it is the third cabtaxi number
  • 728 is the smallest mumber n with property that n and 2n are sums of two distinct positive cubes (728 = 63 + 83 and 1456 = 53 + 113

Common Properties of 728

Abundant
Composite
Even
Odious
Practical
Smith (Joke)