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Owlet puzzle #77

Released Sunday, September 20, 2026 UTC

512
the answer for puzzle #77

The five clues

  1. A three-digit power of two.
  2. A three-digit perfect cube in the low 500s.
  3. It equals 2⁹ = 8³ and is exactly half of 1024.
  4. One more than the minimum number of moves to solve Tower of Hanoi with 9 disks.
  5. The number of outcomes when flipping a coin nine times in sequence.

Backstory

512 = 2⁹ = 8³ = (2³)³ is the only three-digit perfect cube of a power of two: cubes of powers of two are 1, 8, 64, 512, 4096. It's also the size of a common SHA-2 hash block in bits and the number of centicubies… well, 8³.

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