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math.NT2026
On the digits of the sum of proper divisors
Kübra Benli, Cécile Dartyge, Charlotte Dombrowsky +2
We study several probabilistic questions concerning the digits of , the sum of proper divisors of an integer . In particular, we show that obeys Benford's law with…
math.NT2026
A statistical investigation of a divisor-sum function
Ivan Aidun, Lola Thompson
The sum of proper divisors function has been studied for more than 2000 years. In this paper we study statistical properties of the related function $S_s(n) \coloneqq \sum_{…