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A034090
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Numbers n such that sum of proper divisors of n exceeds that of all smaller numbers.
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9
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1, 2, 4, 6, 8, 10, 12, 18, 20, 24, 30, 36, 48, 60, 72, 84, 90, 96, 108, 120, 144, 168, 180, 216, 240, 288, 300, 336, 360, 420, 480, 504, 540, 600, 660, 720, 840, 960, 1008, 1080, 1200, 1260, 1440, 1560, 1680, 1980, 2100, 2160, 2340, 2400, 2520, 2880, 3120, 3240
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..372
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EXAMPLE
| Contribution from William A. Tedeschi (fynmun(AT)att.net), Aug 19 2010: (Start)
-- 12: 1+2+3+4+6 = 16
13: 1 = 1
14: 1+2+7 = 10
15: 1+3+5 = 9
16: 1+2+4+8 = 16
17: 1 = 1
-- 18: 1+2+3+6+9 = 21
As 12 had the previous (earliest) highest it is listed, then since 18 has the new highest, it is listed. (End)
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MATHEMATICA
| A={}; m=-1; For[ i=1, i<10000, i++, t=Apply[ Plus, Divisors[ i ] ]-i; If[ t>m, m=t; AppendTo[ A, i ] ] ]; A
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CROSSREFS
| Cf. A001065, A034091, A034287, A034288.
Sequence in context: A022483 A100180 A101814 * A146344 A162763 A113242
Adjacent sequences: A034087 A034088 A034089 * A034091 A034092 A034093
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KEYWORD
| nonn,nice
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AUTHOR
| J. Lowell (jhbubby(AT)avana.net)
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EXTENSIONS
| More terms from Erich Friedman (erich.friedman(AT)stetson.edu)
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