Owlet puzzle #34
Released Saturday, August 8, 2026 UTC
65536
the answer for puzzle #34
The five clues
- A five-digit multiple of one thousand twenty-four.
- A five-digit power of two beyond the byte range.
- Simultaneously 2ᵃ, 4ᵇ, 16ᶜ, and 256ᵈ for the natural exponents.
- The number of distinct 16-bit unsigned integers, one for each possible value from 0 to 65535.
- The knot in every C programmer's stomach when a short overflows.
Backstory
65536 = 2¹⁶ counts the range of an unsigned 16-bit integer — every short int in the world lives here. It equals 2^(2^4), a tower of twos: 2^2^2^2. Also the smallest number whose only prime factor is 2 that exceeds 40000.
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