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%I #5 Mar 30 2012 18:55:37
%S 5,3,19,15,29,6,74,19,111,147,185,91,197,269,122,159,72,827,1487,2903,
%T 968,999,702,5803,326,2474,7871
%N Perfect Abs. Real part of complex z such that Abs[(Total[Divisors[z]]-z)]=Abs[z].
%C Having Perfect Abs is not as good as being Perfect. A complex number can also have Abundant Abs or Deficient Abs.
%e The divisors for 269+92i are: 1, 2+I, 3+4i, 6+5i, 7+2i, 7+16i, 12+11i, 13+34i, 17+126i, 32+47i, 39+2i, 269+92i. The (sum - k) is 139+248i. Abs[139+248i] == Abs[269+92i]
%t Re[Sort[Select[Flatten[Table[a + b I, {a, 1, 500}, {b, 1, 500}]], Abs[Total[Divisors[ # ]] - # ] == Abs[ # ] &], Abs[ #1] < Abs[ #2] &]
%Y Cf. A101366, A102527, A102531, A102532, A102506, A102507.
%K nonn
%O 0,1
%A _Ed Pegg Jr_, Jan 13 2005
%E Ten more terms from _Hans Havermann_, Jan 15 2005