On behalf of my co-author (Keneth Adrian P. Dagal), we would like to invite you to check out the following arXiv preprint on odd perfect numbers, which claims a disproof of the Dris and Descartes-Frenicle-Sorli Conjectures. (This paper has already been submitted to a journal.)
In case you are interested, we also encourage you to join the closely related discussion in MathOverflow.