Odd Spoof Multiperfect Numbers

László Tóth

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arXiv · 2502.16954

Odd Spoof Multiperfect Numbers

László Tóth

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Abstract

We generalize the definition of spoof perfect numbers to multiperfect numbers and study their characteristics. As a result, we find several new odd spoof multiperfect numbers, akin to Descartes' number. An example is $8999757$, which would be an odd multiperfect number, if one of its prime factors, $61$, was a square. We briefly describe an algorithm for searching for such numbers and discuss a few of their properties.

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László Tóth. 2025-02-24. Odd Spoof Multiperfect Numbers. https://arxiv.org/abs/2502.16954

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