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Numbers k such that A051709(k)/A173557(k) is a positive natural number and a divisor of k.
2

%I #5 Jun 07 2021 06:49:36

%S 4,6,12,28,42,312,456,496,588,828,1080,1216,1242,1377,1560,4560,5964,

%T 7320,7480,7584,8128,11400,13728,14784,23760,33462,59400,59520,124020,

%U 147840,188600,277648,321000,543552,1288224,1510272,1596048,1964544,2038140,3323736,3611520,3780672,3909816,6137440,9034032,10783890

%N Numbers k such that A051709(k)/A173557(k) is a positive natural number and a divisor of 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 A051709(n) = ((sigma(n) + eulerphi(n)) - (2*n));

%o A173557(n) = factorback(apply(p -> p-1, factor(n)[, 1]));

%o isA344995(n) = { my(u=A051709(n),t=A173557(n),r=u/t); ((u>0)&&(1==denominator(r)&&!(n%r))); };

%Y Cf. A051709, A173557.

%Y Subsequence of A344994.

%Y Cf. also A344755, A345002.

%K nonn

%O 1,1

%A _Antti Karttunen_, Jun 05 2021