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A065774 Product of digits of n is equal to the sum of the prime factors of n, counted with multiplicity. 2
2, 3, 4, 5, 7, 18, 25, 154, 329, 418, 442, 532, 1519, 1826, 2354, 2472, 2781, 3383, 4343, 4712, 5282, 5561, 6171, 6623, 7922, 9331, 9911, 11248, 12328, 12773, 13125, 14193, 15194, 16512, 17267, 19852, 21479, 24516, 26522, 31816, 32661, 36512 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..10000 (first 400 terms from Harry J. Smith)

MATHEMATICA

Select[Range[2, 10^5], Times @@ IntegerDigits @ # == Plus @@ Times @@@ FactorInteger @ # &] (* Giovanni Resta, Apr 23 2017 *)

PROG

(PARI) ProdD(x)= { local(p=1); while (x>9 && p>0, p*=(x-10*(x\10)); x\=10); return(p*x) } sopfr(n)= { local(f, s=0); f=factor(n); for(i=1, matsize(f)[1], s+=f[i, 1]*f[i, 2]); return(s) } { n=0; for (m=1, 10^9, if (ProdD(m) == sopfr(m), write("b065774.txt", n++, " ", m); if (n==400, return)) ) } \\ Harry J. Smith, Oct 30 2009

CROSSREFS

Cf. A067173, A001414, A007954.

Sequence in context: A249155 A101012 A048659 * A281233 A048459 A203615

Adjacent sequences:  A065771 A065772 A065773 * A065775 A065776 A065777

KEYWORD

base,easy,nonn

AUTHOR

Jason Earls, Dec 04 2001

EXTENSIONS

Offset changed from 0 to 1 by Harry J. Smith, Oct 30 2009

STATUS

approved

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Last modified July 19 04:25 EDT 2019. Contains 325144 sequences. (Running on oeis4.)