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 A062679 Numbers such that every divisor (except 1, but including the number itself) contains the digit 9. 18
 19, 29, 59, 79, 89, 97, 109, 139, 149, 179, 191, 193, 197, 199, 229, 239, 269, 293, 349, 359, 379, 389, 397, 409, 419, 439, 449, 479, 491, 499, 509, 569, 593, 599, 619, 659, 691, 709, 719, 739, 769, 797, 809, 829, 839, 859, 907, 911, 919, 929, 937, 941, 947 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Different from A106093. 1691 = 19 * 89 is the smallest term that is not in A106093. - Franklin T. Adams-Watters, Apr 30 2007 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 EXAMPLE 7961 has divisors 19, 419 and 7961, all of which contain the digit 9. MATHEMATICA fQ[n_, dgt_] := Union[ MemberQ[#, dgt] & /@ IntegerDigits@ Rest@ Divisors@ n][[1]]; Select[ Range[2, 1000], fQ[#, 9] &] (* Robert G. Wilson v, Jun 11 2014 *) d9Q[n_]:=First[Union[DigitCount[#, 10, 9]&/@Rest[Divisors[n]]]]>0; Select[ Range[ 2, 1000], d9Q] (* Harvey P. Dale, Sep 12 2014 *) PROG (PARI) isok(n) = {if (n==1, return (0)); d = divisors(n); for (k=1, #d, if ((d[k] != 1) && (vecmax(digits(d[k])) != 9), return (0)); ); return (1); } \\ Michel Marcus, Nov 21 2015 (MAGMA) [n: n in [2..1000] | forall{Divisors(n)[i]: i in [2..NumberOfDivisors(n)] | 9 in Intseq(Divisors(n)[i])}]; // Bruno Berselli, Nov 21 2015 CROSSREFS Cf. A062653, A062664, A062667, A062668, A062669, A062670, A062671, A062672, A062673, A062674, A062675, A062676, A062677, A062678, A062680. Sequence in context: A347366 A092600 A106124 * A106093 A084666 A242265 Adjacent sequences:  A062676 A062677 A062678 * A062680 A062681 A062682 KEYWORD base,easy,nonn AUTHOR Erich Friedman, Jul 04 2001 STATUS approved

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Last modified November 27 07:28 EST 2021. Contains 349365 sequences. (Running on oeis4.)