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A062673
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Every divisor (except 1) contains the digit 6.
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18
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61, 67, 163, 167, 263, 269, 367, 461, 463, 467, 563, 569, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 761, 769, 863, 967, 1061, 1063, 1069, 1163, 1361, 1367, 1567, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657
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OFFSET
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1,1
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LINKS
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EXAMPLE
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26569 has divisors 163 and 26569, each of which contains the digit 6.
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MATHEMATICA
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fQ[n_, dgt_] := Union[ MemberQ[#, dgt] & /@ IntegerDigits@ Rest@ Divisors@ n][[1]]; Select[ Range[2, 1660], fQ[#, 6] &] (* Robert G. Wilson v, Jun 11 2014 *)
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PROG
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(Magma) [k:k in [2..1700]| forall{d:d in Set(Divisors(k)) diff {1}| 6 in Intseq(d)}]; // Marius A. Burtea, Nov 07 2019
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CROSSREFS
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Cf. A062653, A062664, A062667, A062668, A062669, A062670, A062671, A062672, A062674, A062675, A062676, A062677, A062678, A062679, A062680.
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KEYWORD
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base,easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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