%I #5 Oct 15 2017 01:00:22
%S 2,3,2,5,5,7,2,3,7,11,7,13,9,4,2,17,8,19,3,5,13,23,9,5,15,3,11,29,10,
%T 31,2,7,19,6,5,37,21,8,11,41,4,43,5,11,25,47,11,7,4,10,17,53,11,8,13,
%U 11,31,59,3,61,33,13,2,9,16,67,7,13,14,71,12,73,39,13,23,9,6,79,13,3,43,83,7
%N Numerator of average of prime factors of n.
%H G. C. Greubel, <a href="/A123528/b123528.txt">Table of n, a(n) for n = 2..5000</a>
%F a(n) = sopfr(n) / bigomega(n) = A001414(n) / A001222(n).
%e 12 = 2 * 2 * 3, so a(12) = (2 + 2 + 3) / 3 = 7/3.
%e Sequence of fractions starts 2/1, 3/1, 2/1, 5/1, 5/2, 7/1, 2/1, 3/1, 7/2, 11/1, 7/3.
%t f[n_] := Plus @@ Times @@@ FactorInteger@n; f[1] = 0; Numerator[ Table[ f[n]/PrimeOmega[n], {n, 2, 50}]] (* _G. C. Greubel_, Oct 14 2017 *)
%Y Cf. A123529, A067629, A001414, A001222.
%K frac,nonn
%O 2,1
%A _Franklin T. Adams-Watters_, Oct 02 2006