A344754 Numbers k such that A344753(k) is a multiple of A048250(k).

1, 6, 24, 28, 54, 96, 112, 150, 153, 216, 294, 384, 448, 486, 496, 528, 672, 726, 864, 1014, 1080, 1377, 1500, 1536, 1734, 1792, 1944, 1980, 1984, 2112, 2166, 2250, 2376, 2688, 3174, 3456, 3672, 3750, 4320, 4374, 4560, 4753, 5046, 5292, 5766, 6000, 6048, 6144, 6720, 7168, 7776, 7936, 8128, 8214, 8448, 8700, 8736, 9024

Offset

1,2

Links

Table of n, a(n) for n=1..58.

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)));
isA344754(n) = (0==(A344753(n)%A048250(n)));

Crossrefs

Cf. A001065, A001615, A306927, A048250, A344753.

Subsequences: A000396, A344755.

Cf. also A344700.

Sequence in context: A069235 A175200 A293453 * A364977 A336641 A336550

Adjacent sequences: A344751 A344752 A344753 * A344755 A344756 A344757

Keyword

nonn

Author

Antti Karttunen, May 29 2021

Status

approved