Cody Problems 1012 and 2544 ask us to determine whether a number n is perfect—that is, whether the sum of divisors sigma(n) is equal to 2n . The number 28 is perfect because the sum of its divisors (1, 2, 4, 7, 14, and 28) is 56, or 2 times 28.
An admirable number is not quite perfect. For one of its proper divisors d', sigma(n) - 2d' = 2n. The number 30 is admirable because the sum of its divisors (1, 2, 3, 5, 6, 10, 15, 30) minus 2 times 6 is 60, or 2 times 30.
Write a function that takes a number x and finds the nearest admirable number. If two admirable numbers are equally close to x, take the smallest.
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Last Solution submitted on Mar 16, 2026

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Tim George Berken David Hill Matthew Bolyard

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