Analysis reveals infinitely many solutions for some equations involving the sum of divisors function, suggesting deeper properties.
In this article, I wiil consider four equations involving the sum of divisors function, σ, and I will prove that for the first two there are infinitely many solutions, while for the other two I will provide some particular solutions. I will also study some properties regarding two sequences of numbers.
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Andreea Dima (2025) studied this question.
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