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A032551
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Numbers that, when expressed in base 8 and then interpreted in base 10, yield a multiple of the original number.
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4
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0, 1, 2, 3, 4, 5, 6, 7, 34217, 34354, 68582, 68719, 68720, 70525, 70537, 70674, 104891, 104902, 105039, 105040, 106845, 139257, 141211, 141348, 175577, 175714, 177519, 177520, 177668, 211885, 212022, 212034, 213839, 213840, 248205, 248342, 250148
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OFFSET
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1,3
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COMMENTS
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Decimal 'base-8 looking' numbers divided by their actual base-8 value is an integer.
There are only 37 terms up to 30 million. - Harvey P. Dale, Sep 29 2012
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LINKS
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EXAMPLE
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7 in base 8 is 7, which interpreted in base 10 is 7=1*7.
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MATHEMATICA
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Join[{0}, Select[Range[300000], Divisible[FromDigits[ IntegerDigits[ #, 8]], #]&]] (* Harvey P. Dale, Sep 29 2012 *)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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