This analysis reveals divisibility issues of sigma and phi plus functions, highlighting interesting sequence properties.
Inspired by Lehmer's and Deaconescu's conjectures concerning Euler's totient function $ϕ(n)$ and Schemmel's totient function S₂(n), respectively, we investigate analogous divisibility problems involving $σ(n)$,σ⁺(n) and φ⁺(n). Further, we establish some interesting properties of the sequences \σ⁺(n)\ₙ₌₁^∞ and \φ⁺(n)\ₙ₌₁^∞.
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Santi M. Mandal (2025) studied this question.
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