The denominator of sigma(n)/n for the superabundant numbers n..
1, 2, 4, 1, 3, 2, 36, 12, 5, 1, 30, 10, 4, 120, 7, 15, 35, 7, 105, 10, 63, 3150, 77, 385, 55, 231, 5775, 11, 275, 231, 55, 55, 429, 825, 143, 275, 429, 6435, 715, 2431, 4675, 2431, 4675, 2431, 12155, 12155, 46189, 12155, 5525, 17765, 46189, 17765, 46189
1
In the first 1000 terms, sigma(n)/n increases to about 10.3332.
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
(Mma) (* let tSAN contain superabundant numbers *) t = DivisorSigma[1, tSAN]/tSAN; Denominator[t]
Cf. A004394 (superabundant numbers), S000140 (numerators).
nonn,nice
T. D. Noe, Jul 16 2014