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A088829 Even numbers with even abundance. 3
6, 10, 12, 14, 20, 22, 24, 26, 28, 30, 34, 38, 40, 42, 44, 46, 48, 52, 54, 56, 58, 60, 62, 66, 68, 70, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126, 130, 132, 134, 136, 138, 140, 142, 146, 148, 150, 152 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Odd numbers with odd abundance are in A016754. Odd numbers with even abundance are in A088828. Even numbers with odd abundance are in A088827.

EXAMPLE

Even perfect numbers are here.

n=10: sigma[10]=18, abundance=18-20=-2<0;

n=12: sigma[12]=28, abundance=28-24=+4>0.

sigma[n] is also even number; sign of abundance:<=>0.

MATHEMATICA

Do[s=DivisorSigma[1, n]-2*n; If[ !OddQ[s]&&!OddQ[n], Print[{n, s}]], {n, 1, 1000}]

CROSSREFS

Cf. A016754, A088827-A088828, A088830.

Sequence in context: A175397 A129493 A036350 * A036348 A100368 A128691

Adjacent sequences:  A088826 A088827 A088828 * A088830 A088831 A088832

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Oct 28 2003

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.