On the number of partitions of a number into distinct divisors

Abstract

Let $p_{\text{dsd}}(n)$ be the number of partitions of $n$ into distinct squarefree divisors of $n$. In this note, we find a lower bound for $p_{\text{dsd}}(n)$, as well as a sequence of $n$ for which $p_{\text{dsd}}(n)$ is unusually large.

8 pages