Numbers n such that the complex number n + n*I is a complex multiply-perfect number.
5, 10, 120, 4680, 6240, 31824000, 628992000
1
See S000947 for more general complex multiply-perfect numbers.
T. D. Noe, Plot of 7 terms
(Mma) lst = {}; Do[z = n + n*I; s = DivisorSigma[1, z]; If[Mod[s, z] == 0, AppendTo[lst, n]; Print[{z, s, s/z}]], {n, 10000}]; lst
Cf. S000947.
nonn,hard,more,nice
T. D. Noe, Oct 04 2016