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Claim. K. Benli, G. Cesana, C. Dartyge, C. Dombrowsky and L. Thompson, Sums of proper divisors with missing digits, arXiv:2307.12859; in Research Directions in Number Theory: Women in Numbers Europe IV, Association for Women in Mathematics Series 32, Springer (2024), 93--110. Theorem 1.8: "Fix $g\geq3$, $\gamma\in(0,1)$, and a nonempty set $\mathcal{D}\subsetneq\{0,1,\ldots,g-1\}$. For all sufficiently large $x$, the number of $n\leq x$ for which $s(n)$ has all of its digits in base $g$ restricted to digits in $\mathcal{D}$ is $O(x\exp(-(\log\log x)^\gamma))$" (result page). The integers whose base-$g$ digits all lie in $\mathcal D$ have density zero, so this is the assertion of Problem 955 for those targets.

Covers. The missing-digit targets in every base $g\ge3$; base $2$ and the general assertion stay open here (base $2$ is the 2026 page).

Depends on. No page of this wiki.

Acceptance. Claimed. The paper appeared in a collected volume of the Association for Women in Mathematics series, and no record of the volume's refereeing is on file, so refereed is not listed; the site does not credit the paper.