Owlet puzzle #113
Released Monday, October 26, 2026 UTC
175
the answer for puzzle #113
The five clues
- A three-digit multiple of twenty-five.
- Its digit sum is 13.
- Equal to 5² × 7.
- Its digits multiply to thirty-five, exactly one-fifth of 175 itself.
- Equals 1¹ + 7² + 5³ — a Münchhausen-like identity using its own digits.
Backstory
175 = 1¹ + 7² + 5³ — a rare 'digit-power' identity where each digit raised to its position sums back to the original. Only a handful of such numbers exist in base 10; 175 is one of the smallest, alongside 89 = 8¹ + 9² and 135 = 1¹ + 3² + 5³ (which uses the same power pattern).
▶ Play puzzle #113 in practice mode
Or try today's fresh puzzle · Browse the full archive