Agama, Theophilus2024-03-142024-03-142022-11-21https://doi.org/10.5281/zenodo.7340116https://africarxiv.ubuntunet.net/handle/1/494https://doi.org/10.60763/africarxiv/452https://doi.org/10.60763/africarxiv/452https://doi.org/10.60763/africarxiv/452In this paper we investigate some properties of perfect numbers and associated sequences using the notion of the disc induced by the sum-of-the-divisor function $\sigma$. We reveal an important relationship between perfect numbers and abundant numbers.perfect numbersdiscdivisor