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A242948 Numbers n such that A = n+DigitProd(n) is divisible by the largest power of 10 <= A. 2
1, 2, 3, 4, 5, 15, 35, 42, 44, 46, 48, 55, 91, 191, 272, 337, 692, 919, 1919, 2488, 5775, 7795, 7984, 17795, 17984, 28464, 29424, 394816, 489632, 683872, 3992224, 4996112, 7872992, 29927424, 89668224, 7991871488, 9968647168, 9991319797 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Trivially, numbers in A037124 satisfy this but are not included in this sequence.

It is not known if a(n) is infinite.

a(54) (if it exists) is > 10^49. - Hiroaki Yamanouchi, Jul 10 2014

LINKS

Hiroaki Yamanouchi, Table of n, a(n) for n = 1..53

EXAMPLE

272+2*7*2 = 300 is divisible by the highest power of 10 lower than 300 (in this case, 100). Thus 272 is a member of this sequence.

PROG

(PARI) DP(n)={p=1; d= digits(n); for(i=1, #d, p*=d[i]); return(p))}

for(n=1, 10^7, if(n%10!=0&&(n+DP(n))%10^(#Str(n+DP(n))-1)==0, print1(n, ", ")))

CROSSREFS

Cf. A037124, A055642, A007954.

Sequence in context: A183528 A145029 A145030 * A102738 A098553 A132705

Adjacent sequences:  A242945 A242946 A242947 * A242949 A242950 A242951

KEYWORD

nonn,base,hard

AUTHOR

Derek Orr, May 27 2014

EXTENSIONS

a(34)-a(38) from Hiroaki Yamanouchi, Jul 10 2014

STATUS

approved

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Last modified September 22 00:42 EDT 2020. Contains 337276 sequences. (Running on oeis4.)