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A182286
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Numbers k such that k is equal to the sum of the proper divisors of k that are greater than k^(1/4).
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3
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18, 1338, 1362, 1374, 1398, 1434, 1446, 1506, 1542, 1578, 1614, 1626, 1662, 1686, 1698, 1758, 1842, 1866, 1878, 1902, 1986, 2022, 2082, 2094, 2118, 2154, 2202, 2238, 2274, 2298, 2334, 2382, 2406, 2454, 2514, 2526, 2586, 2598, 2634, 2658, 2694, 2742, 2766, 2778
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OFFSET
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1,1
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COMMENTS
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On a suggestion of Manuel Valdivia.
Is 8415 the only odd term in this sequence?
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LINKS
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MATHEMATICA
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spdQ[n_]:=Total[Select[Most[Divisors[n]], #>Sqrt[Sqrt[n]]&]]==n; Select[Range[3000], spdQ] (* Harvey P. Dale, Aug 17 2012 *)
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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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