Search: id:A085135
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%I A085135
%S A085135 1,2,3,4,5,6,7,8,9,10,12,18,20,21,24,27,30,36,40,42,45,48,50,54,60,63,
%T A085135 70,72,80,81,84,90,100,108,200,243,300,324,400,405,432,450,486,500,504,
%U A085135 540,567,600,648,675,700,756,800,810,864,900,1000,1008,2000,3000,4000
%N A085135 Numbers with all cyclic permutations of digits, highly composite numbers. 
               Terms of A002473 whose all cyclic permutations are also members.
%C A085135 Sequence is infinite with trivial members of the form k*10^r, k = 1 to 
               9. Conjecture: There are finitely many nontrivial terms (not of the 
               form k*10^r). All the two digit members are the same as that of A085133.
%e A085135 243 is a member as 243,432 and 324 all are members of A002473. 243= 3^5, 
               432= 2^4*3^3,324= 2^2*3^4.
%Y A085135 Cf. A002473, A005349, A085133.
%Y A085135 Sequence in context: A064807 A007603 A005349 this_sequence A085133 A110806 
               A033075
%Y A085135 Adjacent sequences: A085132 A085133 A085134 this_sequence A085136 A085137 
               A085138
%K A085135 base,nonn
%O A085135 0,2
%A A085135 Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), 
               Jul 06 2003
%E A085135 More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jan 28 
               2005

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