%I A080224
%S A080224 0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,
%T A080224 3,0,0,0,2,0,1,0,0,0,0,0,3,0,0,0,0,0,2,0,1,0,0,0,4,0,0,0,0,0,1,0,0,0,1,
%U A080224 0,5,0,0,0,0,0,1,0,3,0,0,0,3,0,0,0,1,0,3,0,0,0,0,0,4,0,0,0,2,0,1,0,1,0
%N A080224 Number of abundant divisors of n.
%C A080224 Number of divisors d of n with sigma(d)>2*d (sigma=A000203); a(n)+A080225(n)+A080226(n)=A000005(n).
%C A080224 a(n)>0 iff n is abundant: a(A005101(n))>0, a(A000396(n))=0 and a(A005100(n))=0; 
               a(A091191(n))=1; a(A091192(n))>1; a(A091193(n))=n and a(m)<>n for 
               m<A091193(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Dec 27 2003
%H A080224 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               AbundantNumber.html">Abundant Number.</a>
%e A080224 Divisors of n=24: {1,2,3,4,6,8,12,24}, two of them are abundant: 12=A005101(1) 
               and 24=A005101(4), therefore a(24)=2.
%Y A080224 Cf. A005101, A000203.
%Y A080224 Sequence in context: A122841 A060862 A066087 this_sequence A010105 A083916 
               A083893
%Y A080224 Adjacent sequences: A080221 A080222 A080223 this_sequence A080225 A080226 
               A080227
%K A080224 nonn
%O A080224 1,24
%A A080224 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 07 2003