Owlet puzzle #12
Released Friday, July 17, 2026 UTC
3435
the answer for puzzle #12
The five clues
- A four-digit multiple of three under 5000.
- A four-digit self-describing number in base 10 (a rare digital-invariant type).
- Equal to the sum of each digit raised to itself, e.g., d₁^d₁ + d₂^d₂ + …
- Beyond 0 and 1 (trivial), no other base-10 number equals the sum of its digits raised to their own powers.
- The unique nontrivial Münchhausen number in base 10.
Backstory
3435 = 3³ + 4⁴ + 3³ + 5⁵ = 27 + 256 + 27 + 3125 is the only Münchhausen number in base 10 besides 1: each digit raised to itself sums back to the original. Named for the baron who lifted himself from a swamp by his own bootstraps.
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