

A125493


Composite deficient numbers.


3



4, 8, 9, 10, 14, 15, 16, 21, 22, 25, 26, 27, 32, 33, 34, 35, 38, 39, 44, 45, 46, 49, 50, 51, 52, 55, 57, 58, 62, 63, 64, 65, 68, 69, 74, 75, 76, 77, 81, 82, 85, 86, 87, 91, 92, 93, 94, 95, 98, 99, 105, 106, 110, 111, 115, 116, 117, 118, 119, 121, 122, 123, 124, 125, 128
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OFFSET

1,1


LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000


EXAMPLE

22 is in the sequence because it is composite and its sum of divisors 1+2+11+22=36 is less than 2*22.
The integer 15 is in the sequence because it is composite and the sum of its proper divisors is 1+3+5<15. The integer 18 is not in the sequence because, although composite, the sum of its proper divisors is 1+2+3+6+9>18.


MAPLE

with(numtheory): a:=proc(n) if sigma(n)<2*n and bigomega(n)>1 then n else fi end: seq(a(n), n=1..160);  Emeric Deutsch, Jan 01 2007


MATHEMATICA

Select[Range[200], CompositeQ[#]&&DivisorSigma[1, #]<2#&] (* Harvey P. Dale, Mar 27 2016 *)


CROSSREFS

Cf. A005100 = deficient numbers.
Sequence in context: A274584 A210998 A205524 * A164923 A141608 A243176
Adjacent sequences: A125490 A125491 A125492 * A125494 A125495 A125496


KEYWORD

nonn


AUTHOR

Tanya Khovanova, Dec 27 2006


EXTENSIONS

More terms from Emeric Deutsch, Jan 01 2007


STATUS

approved



