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Four-digit numbers that do not resolve to 6174 under the Kaprekar map (see A151949).
8

%I #11 Mar 01 2015 15:11:26

%S 1000,1011,1101,1110,1111,1112,1121,1211,1222,2111,2122,2212,2221,

%T 2222,2223,2232,2322,2333,3222,3233,3323,3332,3333,3334,3343,3433,

%U 3444,4333,4344,4434,4443,4444,4445,4454,4544,4555,5444,5455,5545,5554,5555,5556

%N Four-digit numbers that do not resolve to 6174 under the Kaprekar map (see A151949).

%C Dinesh Thakur (email, Mar 01 2015) points out that Kaprekar himself would pad numbers with fewer than four digits by adding initial zeros, so that for him the only four-digit exceptions are those with all four digits equal. - _N. J. A. Sloane_, Mar 01 2015

%H Joseph Myers, <a href="/A069746/b069746.txt">Table of n, a(n) for n=1..77</a> (the full list)

%H <a href="/index/K#Kaprekar_map">Index entries for the Kaprekar map</a>

%Y Cf. A151949.

%K fini,full,nonn,base

%O 1,1

%A _Harvey P. Dale_, Apr 22 2002

%E There are precisely 77 such numbers.