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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.)