1998 IMO Shortlist Problems/N6

Revision as of 03:27, 16 August 2011 by Mathmdmb (talk | contribs) (Created page with "For any positive integer <math>n</math>, let <math>d(n)</math> denote the number of positive divisors of <math>n</math> (including <math>1</math> and <math>n</math>). Determine a...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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