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Numbers k such that A344753(k) is a multiple of A048250(k).
5

%I #5 May 29 2021 12:19:21

%S 1,6,24,28,54,96,112,150,153,216,294,384,448,486,496,528,672,726,864,

%T 1014,1080,1377,1500,1536,1734,1792,1944,1980,1984,2112,2166,2250,

%U 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

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

%H <a href="/index/O#opnseqs">Index entries for sequences where odd perfect numbers must occur, if they exist at all</a>

%o (PARI)

%o A048250(n) = factorback(apply(p -> p+1,factor(n)[,1]));

%o A344753(n) = sumdiv(n,d,(d<n)*(d+(issquarefree(n/d) * d)));

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

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

%Y Subsequences: A000396, A344755.

%Y Cf. also A344700.

%K nonn

%O 1,2

%A _Antti Karttunen_, May 29 2021