# Summer's over

**Number Theory**Level 4

Let \(d(n)\) be the number of positive factors, including \(1\) and \(n\), of a positive integer \(n\). Find the sum of all \(n\) such that \(d(n) = \dfrac{n}{3}\).

Any elegant proofs of why these are the only such values of \(n\) are welcome but not required.