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A084433 Numbers all whose cyclic permutations have GCD > 1. 2

%I

%S 2,3,4,5,6,7,8,9,11,12,15,18,20,21,22,24,26,27,28,30,33,36,39,40,42,

%T 44,45,46,48,50,51,54,55,57,60,62,63,64,66,68,69,70,72,75,77,78,80,81,

%U 82,84,86,87,88,90,93,96,99,102,105,108,111,114,117,120,123,126,129,132

%N Numbers all whose cyclic permutations have GCD > 1.

%C Following are members of this sequence: (1) Numbers made up of even digits (GCD >= 2). (2) Numbers with sum of digits a multiple of 3 (GCD >= 3). (3) Multiples of 11 containing an even number of nonzero digits (GCD >= 11); (i) with highest common factor 11 e.g. 1243; (ii) with highest common factor > 11 e.g. 142857. (4) Numbers made up of identical digits >1 (GCD = the number itself).

%e 1243 and its cyclic permutations 1243, 2431, 4312, 3124 are members as all are divisible by 11.

%e 148, 481 and 814 are members because their GCD is 37.

%K base,nonn

%O 1,1

%A _Amarnath Murthy_, Jun 02 2003

%E Corrected and extended by _David Wasserman_, Dec 28 2004

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Last modified November 18 02:07 EST 2019. Contains 329242 sequences. (Running on oeis4.)