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A032551 Numbers that, when expressed in base 8 and then interpreted in base 10, yield a multiple of the original number. 4

%I #24 Oct 25 2019 16:57:02

%S 0,1,2,3,4,5,6,7,34217,34354,68582,68719,68720,70525,70537,70674,

%T 104891,104902,105039,105040,106845,139257,141211,141348,175577,

%U 175714,177519,177520,177668,211885,212022,212034,213839,213840,248205,248342,250148

%N Numbers that, when expressed in base 8 and then interpreted in base 10, yield a multiple of the original number.

%C Decimal 'base-8 looking' numbers divided by their actual base-8 value is an integer.

%C There are only 37 terms up to 30 million. - _Harvey P. Dale_, Sep 29 2012

%H Giovanni Resta, <a href="/A032551/b032551.txt">Table of n, a(n) for n = 1..52</a> (first 37 terms from Harvey P. Dale)

%e 7 in base 8 is 7, which interpreted in base 10 is 7=1*7.

%t Join[{0},Select[Range[300000],Divisible[FromDigits[ IntegerDigits[ #,8]],#]&]] (* _Harvey P. Dale_, Sep 29 2012 *)

%Y Cf. A032552. See also A032532.

%K nonn,base

%O 1,3

%A _Patrick De Geest_, Apr 15 1998

%E Edited by _N. J. A. Sloane_, Jun 07 2008 at the suggestion of _Sergio Pimentel_

%E Name edited by _Jon E. Schoenfield_, Oct 25 2019

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Last modified July 15 01:36 EDT 2024. Contains 374323 sequences. (Running on oeis4.)