cp's OEIS Frontend

A159237 Composite numbers A046346 divided by the sum of their prime factors (counted with multiplicity).

%I A159237 #6 Jan 22 2016 06:43:47
%S A159237 1,2,3,3,5,5,6,6,7,10,12,11,11,15,16,11,18,14,21,20,25,17,24,30,28,32,
%T A159237 28,27,26,19,17,36,26,28,40,23,40,26,23,45,45,48,48,40,44,54,44,34,54,
%U A159237 29,45,48,29,54,52,44,51,31,38,65,37,29,57,52,77,78,43,43,88,69,105,105
%N A159237 Composite numbers A046346 divided by the sum of their prime factors (counted with multiplicity).
%H A159237 Zak Seidov, <a href="/A159237/b159237.txt">Table of n, a(n) for n=1..1000</a>
%F A159237 a(n) = A046346(n)/sopfr(A046346(n)) = A046346(n)/A001414(A046346(n)).
%e A159237 n=1: A046346(1)=4, A046346(4)=4, a(1)=4/4=1;
%e A159237 n=2: A046346(2)=16, A046346(16)=8, a(2)=16/8=2;
%e A159237 n=3: A046346(3)=27, A046346(27)=9, a(3)=27/9=3;
%e A159237 n=4: A046346(4)=30, A046346(30)=10, a(4)=30/10=3;
%e A159237 n=10: A046346(10)=150, A046346(150)=15, a(10)=150/15=10;
%e A159237 n=100: A046346(100)=3840, A046346(3840)=24, a(100)=3840/24=160;
%e A159237 n=1000: A046346(1000)=102860, A046346(102860)=185, a(1000)=102860/185=556.
%Y A159237 Cf. A046346 Composite numbers that are divisible by the sum of their prime factors (counted with multiplicity), A001414 Integer log of n: sum of primes dividing n (with repetition), sopfr(n), A036844 Numbers n such that n / sopfr(n) is an integer, where sopr() = sum-of-prime-factors, A001414.
%K A159237 nonn
%O A159237 1,2
%A A159237 _Zak Seidov_, Apr 06 2009