A099010 Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives numbers belonging to cycles of length greater than 1.

53955, 59994, 61974, 62964, 63954, 71973, 74943, 75933, 82962, 83952, 420876, 642654, 750843, 840852, 851742, 860832, 862632, 7509843, 7519743, 7619733, 8429652, 8439552, 8649432, 8719722, 9529641, 43208766, 64308654, 64326654

Offset: 1

Author

Klaus Brockhaus, Sep 22 2004

Keywords

• nonn
• base

Comments

86526432, 64308654, 83208762 form a cycle of length three and 86308632, 86326632, 64326654, 43208766, 85317642, 75308643, 84308652 form a cycle of length seven.

Examples

			53955 and 59994 form a cycle of length 2 and hence are terms: 53955 -> 95553 - 35559 = 59994 -> 99954 - 45999 = 53955.
		

Links

• Joseph Myers, Table of n, a(n) for n=1..28910 [From _Joseph Myers_, Aug 22 2009]
• Eric Weisstein's World of Mathematics, Kaprekar Routine
• Index entries for the Kaprekar map

Crossrefs

Cf. A151949, A090429, A069746, A099009.

Cf. A164715 (corresponding cycle lengths) [From Joseph Myers, Aug 24 2009]

In other bases: Empty (base 2), A165000 (base 3), A165019 (base 4), A165039 (base 5), A165058 (base 6), A165078 (base 7), A165097 (base 8), A165117 (base 9). [From Joseph Myers, Sep 05 2009]

Extensions

Definition revised ny N. J. A. Sloane, Aug 18 2009

Extended by Joseph Myers, Aug 22 2009