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A046755
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d(n)^3 divides n.
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5
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1, 625, 6561, 21952, 32768, 64000, 98304, 117649, 163840, 229376, 360448, 425984, 557056, 622592, 753664, 950272, 1015808, 1212416, 1343488, 1362944, 1409024, 1540096, 1736704, 1933312, 1998848, 2195456, 2326528, 2392064, 2588672
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Proper subset of both A033950 and A046754. If two terms in the sequence are prime to each other then their product is also in the sequence.
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LINKS
| Donovan Johnson, Table of n, a(n) for n = 1..1000
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EXAMPLE
| If n = 21952, d(n) = Sigma[ 0,n ] = 28. Its 3rd power is 21952 which divides n.
a(103)=14385152=(2^15)*439 with 32 divisors and 14385152/(32^3)=439 2^15*prime is a typical term in the sequence with 32 divisors.
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MATHEMATICA
| Select[ Range[ 1, 14500000 ], IntegerQ[ #/(DivisorSigma[ 0, # ])^3 ]& ]
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CROSSREFS
| Cf. A033950, A046754, A046756.
Sequence in context: A186483 A043352 A171995 * A016816 A046756 A143026
Adjacent sequences: A046752 A046753 A046754 * A046756 A046757 A046758
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu)
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