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A048946 Numbers k such that the product of divisors of k is a fifth power. 1
1, 16, 32, 48, 80, 81, 112, 144, 162, 176, 208, 240, 243, 272, 304, 324, 336, 368, 400, 405, 432, 464, 496, 512, 528, 560, 567, 592, 624, 625, 648, 656, 688, 720, 752, 784, 810, 816, 848, 880, 891, 912, 944, 976, 1008, 1024, 1040, 1053, 1072, 1104, 1134 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Divisor Product
MATHEMATICA
Select[Range[1135], IntegerQ@ Power[Times @@ Divisors[#], 1/5] &] (* Michael De Vlieger, Mar 09 2022 *)
PROG
(PARI) is(n)=ispower(n, 5) || numdiv(n)%5==0 \\ Charles R Greathouse IV, May 25 2011
(Magma) A048946:=func< n | IsPower(&*Divisors(n), 5) >; [ n: n in [1..1134] | A048946(n) ]; // Bruno Berselli, May 25 2011
CROSSREFS
Cf. A007955 (product of divisors of n), A000584 (5th powers).
Sequence in context: A023707 A044442 A082294 * A260050 A224544 A255994
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified May 26 13:41 EDT 2024. Contains 372826 sequences. (Running on oeis4.)