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Owlet puzzle #33

Released Friday, August 7, 2026 UTC

4096
the answer for puzzle #33

The five clues

  1. A four-digit number.
  2. A power of 2 — but also a power of another integer.
  3. 2¹² = 4⁶ = 8⁴ = 16³.
  4. One of very few numbers that are simultaneously a cube and a fourth power.
  5. Beyond a power of two, it is also 16 cubed.

Backstory

4096 = 2¹². Because 12 = 3·4, it is both a perfect cube (16³) and a perfect fourth power (8⁴).

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