Suppose we define $R(k)$ as the number of $m \times n$ rectangles with integer sides and area $mn = k$ (we don't distinguish between $m \times n$ and $n \times m$).
How fast does this function grow "on average" and "in the long run"?
Suppose we define $R(k)$ as the number of $m \times n$ rectangles with integer sides and area $mn = k$ (we don't distinguish between $m \times n$ and $n \times m$).
How fast does this function grow "on average" and "in the long run"?
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