Owlet puzzle #51
Released Tuesday, August 25, 2026 UTC
216
the answer for puzzle #51
The five clues
- A three-digit perfect cube.
- A three-digit cube of an even number.
- The cube of six — equal to 8·27 = 2³·3³.
- Sum of three consecutive cubes: 3³+4³+5³.
- Equal to three-fifths of a full circle measured in degrees.
Backstory
216 = 6³ = 3³ + 4³ + 5³ is the smallest cube that is a sum of three consecutive cubes. Plato invokes 216 obscurely in Republic Book VIII; the identification with 'Plato's number' remains disputed. Also 216 = 2³ · 3³ = (2·3)³.
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