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A145746 Numbers n such that sum of the proper divisors of n is product of digits of n. 0
6, 11, 778, 11735953 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

All repunit primes are in the sequence. So A004022 is a subsequence of this sequence.

EXAMPLE

sigma(11735953)=sigma(883*13291)=11735953+(13291+883+1)=11735953+

1*1*7*3*5*9*5*3 so 11735953 is in the sequence.

MATHEMATICA

Do[If[DivisorSigma[1, n]-n==Apply[Times, IntegerDigits[n]], Print[n]], {n, 50000000}]

CROSSREFS

Cf. A004022.

Sequence in context: A136980 A083834 A136978 * A024267 A028584 A084342

Adjacent sequences:  A145743 A145744 A145745 * A145747 A145748 A145749

KEYWORD

base,more,nice,nonn

AUTHOR

Farideh Firoozbakht (mymontain(AT)yahoo.com), Oct 27 2008

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Last modified February 16 11:51 EST 2012. Contains 205908 sequences.