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A140522
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Numbers for which sigma(n) - 2n exceeds sigma(k) - 2k for all k < n.
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3
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1, 6, 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 168, 180, 240, 300, 336, 360, 420, 480, 540, 600, 660, 720, 840, 1008, 1080, 1200, 1260, 1440, 1680, 2100, 2160, 2520, 3240, 3360, 3780, 3960, 4200, 4620, 4680, 5040, 6300, 6720, 7200, 7560, 8400, 9240, 10080
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OFFSET
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1,2
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LINKS
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EXAMPLE
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72 is the smallest number > 60 with an abundance > the abundance of 60. - Donovan Johnson, Jan 20 2012
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MATHEMATICA
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a = {1}; m = -1; For[n = 2, n < 20000, n++, If[DivisorSigma[1, n] - 2*n > m, m = DivisorSigma[1, n] - 2*n; AppendTo[a, n]]]; a (* Stefan Steinerberger, Aug 04 2008 *)
DeleteDuplicates[Table[{n, DivisorSigma[1, n]-2n}, {n, 11000}], GreaterEqual[ #1[[2]], #2[[2]]]&][[;; , 1]] (* Harvey P. Dale, Mar 16 2023 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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