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A333258
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Numbers k that are not powers of primes such that the sum of proper unitary divisors of k is a cube.
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2
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10, 12, 69, 122, 133, 153, 236, 363, 504, 752, 844, 992, 1001, 1018, 1243, 1685, 1819, 1940, 1994, 2295, 2323, 2619, 2871, 2900, 3184, 3403, 3483, 3641, 3763, 3981, 3984, 4024, 5482, 6471, 6892, 7128, 7925, 7928, 8186, 8856, 9077, 9352, 9641, 9664, 10113, 10404
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OFFSET
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1,1
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COMMENTS
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Powers of primes are excluded since they are trivial terms: their sum of proper unitary divisors is 1 (except for 1 whose sum of proper unitary divisors is 0) .
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LINKS
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EXAMPLE
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10 is a term since A034460(10) = 8 = 2^3.
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MATHEMATICA
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usigma[1] = 1; usigma[n_] := Times @@ (1 + Power @@@ FactorInteger[n]); us[n_] := usigma[n] - n; Select[Range[10000], PrimeNu[#] > 1 && IntegerQ @ Surd[us [#], 3] &]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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