A344755 Numbers k such that A344753(k) is a multiple of A048250(k), and k is a multiple of A344753(k)/A048250(k).

6, 28, 150, 496, 528, 1980, 4560, 8128, 8736, 11400, 19872, 20664, 75840, 82080, 253080, 254880, 741744, 1627290, 5130300, 5607360, 7529760, 19645440, 20718720, 33550336, 35092512, 45643392, 45995040, 56424960, 86944320, 169910136, 174013920, 180442080, 196378992, 242040960, 304577280, 314511360, 326611440, 451344960

Offset

1,1

Comments

Numbers k for which A344753(k)/A048250(k) is a divisor of k.

Perfect numbers (A000396, including also any hypothetical odd terms) are included as only on them A001615 coincides with A344753, and because A001615(n) = A003557(n)*A048250(n), with A003557(n) being a divisor of n.

Links

Antti Karttunen, Table of n, a(n) for n = 1..50 (terms < 2^31)

Index entries for sequences where odd perfect numbers must occur, if they exist at all

Prog

(PARI)
A048250(n) = factorback(apply(p -> p+1, factor(n)[, 1]));
A344753(n) = sumdiv(n, d, (d<n)*(d+(issquarefree(n/d) * d)));
isA344755(n) = { my(t=A344753(n), u=A048250(n)); ((0==(t%u))&&(0==(n%(t/u)))); };

Crossrefs

Cf. A000396 (subsequence), A001065, A001615, A003557, A306927, A048250, A344753.

Subsequence of A344754.

Cf. also A344700.

Sequence in context: A110047 A163029 A309490 * A045722 A047129 A173081

Adjacent sequences: A344752 A344753 A344754 * A344756 A344757 A344758

Keyword

nonn

Author

Antti Karttunen, May 29 2021

Status

approved