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A159237 Composite numbers A046346 divided by the sum of their prime factors (counted with multiplicity). 1
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, 28, 27, 26, 19, 17, 36, 26, 28, 40, 23, 40, 26, 23, 45, 45, 48, 48, 40, 44, 54, 44, 34, 54, 29, 45, 48, 29, 54, 52, 44, 51, 31, 38, 65, 37, 29, 57, 52, 77, 78, 43, 43, 88, 69, 105, 105 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Zak Seidov, Table of n, a(n) for n=1..1000

FORMULA

a(n) = A046346(n)/sopfr(A046346(n)) = A046346(n)/A001414(A046346(n)).

EXAMPLE

n=1: A046346(1)=4, A046346(4)=4, a(1)=4/4=1;

n=2: A046346(2)=16, A046346(16)=8, a(2)=16/8=2;

n=3: A046346(3)=27, A046346(27)=9, a(3)=27/9=3;

n=4: A046346(4)=30, A046346(30)=10, a(4)=30/10=3;

n=10: A046346(10)=150, A046346(150)=15, a(10)=150/15=10;

n=100: A046346(100)=3840, A046346(3840)=24, a(100)=3840/24=160;

n=1000: A046346(1000)=102860, A046346(102860)=185, a(1000)=102860/185=556.

CROSSREFS

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.

Sequence in context: A278530 A330332 A023816 * A335599 A227065 A010761

Adjacent sequences:  A159234 A159235 A159236 * A159238 A159239 A159240

KEYWORD

nonn

AUTHOR

Zak Seidov, Apr 06 2009

STATUS

approved

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Last modified April 14 16:19 EDT 2021. Contains 342949 sequences. (Running on oeis4.)