%I #6 Dec 25 2016 01:06:35
%S 1,2,3,2,3,3,3,2,3,1,2,3,2,3,3,2,3,2,2,2,2,1,2,3,2,2,2,3,2,3,3,2,3,2,
%T 2,2,2,2,2,2,2,2,2,2,2,1,2,3,2,1,2,2,2,2,2,3,2,2,2,3,2,3,3,2,3,2,2,2,
%U 2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,3,2,2,2,2,2,2,2,2,2
%N (Length of preperiodic part) + (length of cycle) of trajectory of n under iteration of the base-2 Kaprekar map in A164884.
%C All base-2 cycles are fixed points, so one more than A164885.
%H Joseph Myers, <a href="/A164886/b164886.txt">Table of n, a(n) for n = 0..1024</a>
%H <a href="/index/K#Kaprekar_map">Index entries for the Kaprekar map</a>
%Y Cf. A164884, A163205, A164885, A164887.
%Y In other bases: A164996 (base 3), A165015 (base 4), A165035 (base 5), A165054 (base 6), A165074 (base 7), A165093 (base 8), A165113 (base 9), A151963 (base 10).
%K base,nonn
%O 0,2
%A _Joseph Myers_, Aug 29 2009
%E Cross-references edited by _Joseph Myers_, Sep 04 2009