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A046756 d(n)^4 divides n. 4
1, 625, 6561, 117649, 4100625, 31250000, 37515625, 73530625, 771895089, 1000000000, 2147483648, 6442450944, 10737418240, 15032385536, 23622320128, 25937424601, 27917287424, 32212254720, 33059881728, 36507222016, 40802189312, 45097156608, 49392123904 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Proper subset of A033950, A046754 and A046755. Relatively prime terms are in the sequence together with their products like 73530625 or 771895089000000000.

EXAMPLE

If n=625, d(n)=Sigma[ 0,n ]=5. Its 4th power is 625 which divides n.

MATHEMATICA

Select[ Range[ 1, 14500000 ], IntegerQ[ #/(DivisorSigma[ 0, # ])^2 ]& ]

CROSSREFS

Cf. A033950, A046754, A046755.

Sequence in context: A171995 A046755 A016816 * A143026 A064781 A055868

Adjacent sequences:  A046753 A046754 A046755 * A046757 A046758 A046759

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu)

EXTENSIONS

a(6)-a(20) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 30 2008

a(21)-a(23) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Jun 08 2011

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.