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MacMahon introduced a generalized notion of divisor sums that are easily interpreted in terms of integer partitions. In this talk, we take the audience on a tour that includes our encounters with a variety of subjects, such as "prtition Eisenstein series", symmetric functions theory, and topological genera. We highlight the advantages of being an experimentalist, a humble disciple of Zeilberger. This presentation spans joint work with several co-authors.