Owlet puzzle #116
Released Thursday, October 29, 2026 UTC
243
the answer for puzzle #116
The five clues
- A three-digit multiple of twenty-seven.
- A three-digit power of three.
- The fifth power of three — also 3² times 27.
- Also equal to 3 · 81 = 9 · 27.
- In base 3 it reads 100000 — a one followed by five zeros.
Backstory
243 = 3⁵, the fifth power of three and the count of strings of length 5 over a ternary alphabet. It sits between 3⁴ = 81 and 3⁶ = 729 on the prime-power ladder, and its factorization has τ(243) = 6 divisors.
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