%I #23 Sep 19 2024 16:34:13

%S 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 70,72,80,81,84,90,100,108,200,243,300,324,400,405,432,450,486,500,

%U 504,540,567,600,648,675,700,756,800,810,864,900,1000,1008,2000,3000,4000

%N Numbers whose cyclic permutations are all 7-smooth (A002473).

%C Sequence is infinite with trivial terms 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 terms are the same as those of A085133.

%e 243 is a term as 243, 432 and 324 all are terms of A002473. 243 = 3^5, 432 = 2^4*3^3, 324 = 2^2*3^4.

%Y Cf. A002473, A005349, A085133.

%K base,nonn

%O 1,2

%A _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jul 06 2003

%E More terms from _David Wasserman_, Jan 28 2005