A165036 Fixed points of the base-5 Kaprekar map A165032.

0, 8, 392, 1831056, 48217776, 1217651376, 30502319376, 144640604656, 762863159376, 3774960835776, 19073104859376, 95168749491376, 476835250859376, 2383192380269376, 11320075681132656, 11920919418359376, 59599677721659376, 295018957507225776, 298023176193359376

Offset

1,2

Comments

Initial terms in base 5: 0, 13, 3032, 432043211, 44320432101, 4443204321001, 444432043210001, 4332210443322111, 44444320432100001, 443322104433221101.

All terms are multiples of 8. - M. F. Hasler, Jul 17 2026

Links

Joseph Myers, Table of n, a(n) for n=1..332

Shin-Ichi Katayama, On the Kaprekar's Constant in the Zeckendorf's Representation (sic), J. Math. Tokushima Univ. 59 (2025) 1-12. See p. 2.

Index entries for the Kaprekar map

Prog

(PARI) select( {is_A165036(n)=n==fromdigits(Vecrev(n=vecsort(digits(n, 5)))-n, 5)}, [0..10^5]) \\ M. F. Hasler, Jul 17 2026

Crossrefs

Cf. A165032, A165037, A165039, A008617.

In other bases: A163205 (base 2), A164997 (base 3), A165016 (base 4), A165055 (base 6), A165075 (base 7), A165094 (base 8), A165114 (base 9), A099009 (base 10).

Sequence in context: A203368 A012825 A221252 * A185254 A347997 A221224

Adjacent sequences: A165033 A165034 A165035 * A165037 A165038 A165039

Keyword

base,nonn,changed

Author

Joseph Myers, Sep 04 2009

Status

approved