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Revision History for A330413

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A330413

Integers m such that sigma(m) + sigma(16*m) = 34*m.
(history; published version)

#7 by Bruno Berselli at Mon Feb 24 04:25:00 EST 2020

STATUS

reviewed

approved

#6 by Joerg Arndt at Mon Feb 24 04:21:58 EST 2020

STATUS

proposed

reviewed

#5 by Michel Marcus at Thu Feb 13 00:52:08 EST 2020

STATUS

editing

proposed

#4 by Michel Marcus at Thu Feb 13 00:51:57 EST 2020

CROSSREFS

Cf. A000203, A000396, A001774, A136539, A281993, A330412.

STATUS

proposed

editing

#3 by Jinyuan Wang at Thu Feb 13 00:44:13 EST 2020

STATUS

editing

proposed

#2 by Jinyuan Wang at Thu Feb 13 00:43:59 EST 2020

NAME

allocated for Jinyuan WangIntegers m such that sigma(m) + sigma(16*m) = 34*m.

DATA

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

OFFSET

1,1

COMMENTS

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

LINKS

Heiko Harborth, <a href="http://ami.ektf.hu/uploads/papers/finalpdf/AMI_41_from57to62.pdf">On h-perfect numbers</a>, 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

Cf. A000203, A000396, A136539, A281993, A330412.

KEYWORD

allocated

nonn

AUTHOR

Jinyuan Wang, Feb 12 2020

STATUS

approved

editing

#1 by Jinyuan Wang at Sat Dec 14 00:10:09 EST 2019

NAME

allocated for Jinyuan Wang

KEYWORD

allocated

STATUS

approved