# Difference between revisions of "1998 IMO Problems/Problem 3"

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For any positive integer n, let d(n) denote the number of positive divisors | For any positive integer n, let d(n) denote the number of positive divisors | ||

of n (including 1 and n itself). Determine all positive integers k such that | of n (including 1 and n itself). Determine all positive integers k such that | ||

− | d(n 2 )/d(n) = k for some n. | + | d(n^2)/d(n) = k for some n. |

## Latest revision as of 14:38, 11 January 2021

For any positive integer n, let d(n) denote the number of positive divisors of n (including 1 and n itself). Determine all positive integers k such that d(n^2)/d(n) = k for some n.