A223090 Numbers k with the property that if the base-8 representation of k is read backwards, the result is an integral multiple of k.

21, 189, 525, 567, 1134, 1365, 1533, 4599, 4725, 9198, 10773, 12285, 34125, 36855, 38325, 73710, 86037, 87381, 96957, 98301, 269325, 294903, 307125, 589806, 688149, 700245, 774333, 786429, 2150925, 2184525, 2322999, 2359287, 2423925, 2457525, 4645998, 4718574, 5505045, 5515797, 5592405, 5603157, 6193341, 6204093, 6280701, 6291453

Offset: 1

Author

N. J. A. Sloane, Mar 23 2013

Keywords

• nonn
• base

Comments

A217742 is a subsequence.

The multiples that occur are 2, 3, 5, 7 (cf. A222817-A222820).

Examples

			n = 525 (base 10) = 1015 (base 8). Reading this backwards we get 5101 (base 8) = 2625 (base 10) = 5*n, so 525 is in the sequence.
		

Crossrefs

Cf. A214927, A217742, A223089, A222817-A222820.

Programs

Mathematica

b8rQ[n_]:=Module[{c=FromDigits[Reverse[IntegerDigits[n,8]],8]},c/n>1 && IntegerQ[c/n]]; Select[Range[63*10^5],b8rQ] (* Harvey P. Dale, Sep 18 2016 *)