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A330413 Integers m such that sigma(m) + sigma(16*m) = 34*m. 2
268, 4336, 69568, 73014378496, 18691696623616, 80280230208715249156096, 5516815412193254337299253840314368, 22596875928343569838211798520159010816, 106710729501573572985208420194451100911225778218295042768896, 7689318425915528602346510723233181380859942271270135051778769275060995751936 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
This is the case h = 16 of the h-perfect numbers as defined in the Harborth link.
LINKS
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.
PROG
(PARI) isok(m) = sigma(m) + sigma(16*m) == 34*m;
CROSSREFS
Sequence in context: A235169 A352474 A375334 * A251941 A286792 A337917
KEYWORD
nonn
AUTHOR
Jinyuan Wang, Feb 12 2020
STATUS
approved

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Last modified August 18 23:41 EDT 2024. Contains 375284 sequences. (Running on oeis4.)