A153494 - OEIS

A153494

a(n) is smallest number greater than n that, when compared divisors of a(n) with divisors of n, the d-th smallest divisor of a(n) is always <= the d-th smallest divisor of n for all values of d <= the number of divisors of n.

%I #7 Mar 30 2012 19:00:38

%S 2,4,4,6,6,12,8,12,10,12,12,24,14,16,16,18,18,24,20,24,24,24,24,48,26,

%T 28,28,30,30,36,32,36,36,36,36,48,38,40,40,48,42,48,44,48,48,48,48,60,

%U 50,54,52,54,54,60,56,60,60,60,60,120,62,64,64,66,66,72,68,72,70,72,72

%N a(n) is smallest number greater than n that, when compared divisors of a(n) with divisors of n, the d-th smallest divisor of a(n) is always <= the d-th smallest divisor of n for all values of d <= the number of divisors of n.

%e a(24) cannot be 36 because the 6th smallest divisor of 24 is 8 and the 6th smallest divisor of 36 is 9 > 8.

%K nonn

%O 1,1

%A _J. Lowell_, Dec 27 2008

%E More terms from _Max Alekseyev_, May 11 2010