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Owlet puzzle #110

Released Friday, October 23, 2026 UTC

120
the answer for puzzle #110

The five clues

  1. A three-digit highly composite number.
  2. A three-digit factorial.
  3. The number of degrees in the interior angle of a regular hexagon.
  4. A triangular number: T₁₅ = 1+2+…+15.
  5. The order of the symmetric group on five elements — every possible ordering of five items.

Backstory

120 = 5! = T₁₅ = C(10,3), simultaneously a factorial, a triangular number, and a binomial coefficient. It's the tenth highly composite number, with 16 divisors — the smallest number to reach that count.

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