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On weird numbers with high abundancy index

General Mathematics 2026-07-28 v1

Abstract

Let n be a natural number. It is proved that if the sum of divisors of n has sufficiently large relative to n, then n is some distinct sum of proper divisors of n.

Cite

@article{arxiv.2607.25278,
  title  = {On weird numbers with high abundancy index},
  author = {Kei Hisamoto},
  journal= {arXiv preprint arXiv:2607.25278},
  year   = {2026}
}

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17pages