%I A161184
%S A161184 1,2,4,6,3,6,9,3,6,3,9,6,9,9,3,9,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,
%T A161184 9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,
%U A161184 9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9
%N A161184 Digital roots of highly composite numbers (A002182).
%C A161184 It appears that a significant number of highly composite numbers have 
               9 as their digital root.
%C A161184 a(n)=9 for n>17 because for those n, the highly composite number A002182(n) 
               is divisible by 9. [From T. D. Noe (noe(AT)sspectra.com), Jul 28 
               2009]
%F A161184 a(n)=A010888(A140645(n)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Jun 15 2009]
%e A161184 7560 is a highly composite number whose digital root is 9.
%p A161184 read("transforms3"): L := BFILETOLIST("b002182.txt") : A007953 := proc(n) 
               add(d,d=convert(n,base,10)) ; end: A010888 := proc(n) local a ; a 
               := A007953(n) ; while a > 9 do a := A007953(a) ; od; a; end: for 
               i from 1 to 200 do printf("%d,", A010888(op(i,L))) ; od: [From R. 
               J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 15 2009]
%Y A161184 Cf. A002182
%Y A161184 Sequence in context: A104492 A075075 A088178 this_sequence A140645 A117532 
               A057336
%Y A161184 Adjacent sequences: A161181 A161182 A161183 this_sequence A161185 A161186 
               A161187
%K A161184 nonn,base
%O A161184 1,2
%A A161184 Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Jun 05 2009
%E A161184 Extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 15 2009