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%I #10 Oct 15 2019 07:53:06
%S 4,27,378,576,2688,17496,44928,75776,168960,319488,958464,2883584,
%T 5767168,7077888,279969792,544997376,778567680,2579496960,3875536896,
%U 22749904896,60699967488,87509958656,164886478848
%N Highly decomposable Smith numbers. A Smith number which sets a record for the number of prime factors (counting multiplicity) starting from first Smith number is called a highly decomposable Smith number.
%C Except for 27, no other highly decomposable Smith number below 10^9 is odd. It is conjectured that except for 27, all highly decomposable Smith numbers are even.
%D S. S. Gupta, Smith Numbers, Mathematical Spectrum, 37 (2004/5), 27-29.
%H S. S. Gupta, <a href="http://www.shyamsundergupta.com/smith.htm">Smith Numbers</a>.
%e a(3) = 378 because the Smith number 378 has 5 prime factors which is > any Smith number < 378.
%Y Cf. A006753, A104168.
%K nonn,base,more
%O 1,1
%A _Shyam Sunder Gupta_, Mar 10 2005 and May 03 2005
%E a(20)-a(23) from _Donovan Johnson_, Jan 02 2013
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