Owlet puzzle #7
Released Sunday, July 12, 2026 UTC
153
the answer for puzzle #7
The five clues
- A three-digit multiple of nine.
- A three-digit triangular number divisible by nine.
- The seventeenth triangular number T₁₇, which is also equal to the sum of the cubes of its own digits.
- The sum of the cubes of its own digits: 1³ + 5³ + 3³.
- The smallest three-digit narcissistic number.
Backstory
1³+5³+3³ = 1+125+27 = 153, a narcissistic (Armstrong) number. Curiously, 153 also equals 1! + 2! + 3! + 4! + 5! and is the 17th triangular number, T_{17}. In John 21:11, the fishermen's net holds exactly 153.
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