A330413 - OEIS

A330413

Integers m such that sigma(m) + sigma(16*m) = 34*m.

268, 4336, 69568, 73014378496, 18691696623616, 80280230208715249156096, 5516815412193254337299253840314368, 22596875928343569838211798520159010816, 106710729501573572985208420194451100911225778218295042768896, 7689318425915528602346510723233181380859942271270135051778769275060995751936

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OFFSET

1,1

COMMENTS

This is the case h = 16 of the h-perfect numbers as defined in the Harborth link.

LINKS

Table of n, a(n) for n=1..10.

Heiko Harborth, On h-perfect numbers, Annales Mathematicae et Informaticae, 41 (2013) pp. 57-62.

FORMULA

a(n) = 2^A001774(n) * (17*2^A001774(n) - 1).

EXAMPLE

268 is a term since sigma(268) + sigma(16*268) = 9112, that is 34*268.