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Advent calendar 2024

4 December

This puzzle was part of the 2024 Advent calendar.
All 2024 advent puzzles ~ More information
The geometric mean of a set of n numbers is computed by mulitplying all the numbers together, then taking the nth root.
The factors of 9 are 1, 3, and 9. The geometric mean of these factors is
1×3×93=273=3
What is the smallest number where the geometric mean of its factors is 13?

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Tags: averages, factors

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