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A statistical investigation of a divisor-sum function
The sum of proper divisors function $s(n)$ has been studied for more than 2000 years. In this paper we study statistical properties of the related function $S_s(n) \coloneqq \sum_{d \mid n} s(d)$. This function arises from a generalization of the practical numbers. Although $S_s(n)$ is neither addit
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