Owlet puzzle #60
Released Thursday, September 3, 2026 UTC
495
the answer for puzzle #60
The five clues
- A three-digit multiple of ninety-nine.
- A three-digit Kaprekar attractor for the 3-digit distinct-digit routine.
- Kaprekar's fixed point for three-digit numbers under the sort-and-subtract routine.
- 3-digit sibling of 6174.
- Also equals C(12,4) — the number of ways to choose four elements from twelve.
Backstory
495 is the 3-digit analog of the 4-digit Kaprekar constant 6174. From any 3-digit input with at least two distinct digits, Kaprekar's routine (sort descending, sort ascending, subtract) converges to 495 in at most 6 steps. 495 = 3² · 5 · 11.
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