🦉 Owlet

← Back to archive

Owlet puzzle #17

Released Wednesday, July 22, 2026 UTC

9801
the answer for puzzle #17

The five clues

  1. A four-digit perfect square exceeding 9000.
  2. A four-digit perfect square whose digit-reversal is also a square.
  3. The square of a two-digit repdigit, whose reciprocal cycles through nearly every two-digit block.
  4. Reciprocal 1/9801 expands to 0.0001020304050607080910...
  5. Missing only '98' in the parade of two-digit blocks.

Backstory

9801 = 99² and 1/9801 = 0.000102030405…9799000102… — the decimal cycles through every two-digit number except 98 before returning. The 'missing 98' is due to carry from the tail 9899 into the next period.

▶ Play puzzle #17 in practice mode

Or try today's fresh puzzle · Browse the full archive

More puzzles