%I A002183 M0546 N0196
%S A002183 1,2,3,4,6,8,9,10,12,16,18,20,24,30,32,36,40,48,60,64,72,80,84,90,96,
%T A002183 100,108,120,128,144,160,168,180,192,200,216,224,240,256,288,320,336,
%U A002183 360,384,400,432,448,480,504,512,576,600,640,672,720,768,800,864,896
%N A002183 Number of divisors of n-th highly composite number.
%C A002183 Record values of tau(n).
%C A002183 RECORDS transform of A000005.
%C A002183 All powers of 2 are present through 2^17. No power of 2 above that is 
               present at least through 2^51. - Comment from Robert G. Wilson v, 
               modified by Ray Chandler, Nov 10 2005
%C A002183 No power of 2 above 2^17 is contained in this sequence - see McRae link 
               for proof. - Graeme McRae (g_m(AT)mcraefamily.com), Apr 27 2006
%D A002183 S. Ramanujan, Collected Papers, Ed. G. H. Hardy et al., Cambridge 1927; 
               Chelsea, NY, 1962, p. 87.
%D A002183 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002183 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A002183 T. D. Noe, <a href="b002183.txt">Table of n, a(n) for n=1..1000</a>
%H A002183 A. Flammenkamp, <a href="http://wwwhomes.uni-bielefeld.de/achim/highly.txt">
               First 1200 highly composite numbers</a>
%H A002183 Graeme McRae, <a href="http://2000clicks.com/MathHelp/NumberFactorsHighlyComposite.htm">
               Highly Composite Numbers</a>
%H A002183 S. Ramanujan, <a href="http://www.imsc.res.in/~rao/ramanujan/CamUnivCpapers/
               Cpaper15/page10.htm">Table of First 103 Highly Composite Numbers</
               a>
%H A002183 N. J. A. Sloane, <a href="transforms.txt">Transforms</a>
%H A002183 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               HighlyCompositeNumber.html">Highly Composite Number</a>
%F A002183 a(n) = A000005(A002182(n)).
%F A002183 Also record values of differences A006218(p)-A006218(p-1). These record 
               values occur for any p=A002182(q) where q>=2. - Philippe LALLOUET 
               (philip.lallouet(AT)wanadoo.fr), Jun 23 2007
%t A002183 (* Julian#39: calculates Highly composite numbers *), (*Dec. 8, 1997 
               Mathematica 3.0; D. B. Siano*)
%Y A002183 Cf. A006218, A002182, A000005.
%Y A002183 Sequence in context: A085451 A064150 A067023 this_sequence A060306 A158614 
               A117925
%Y A002183 Adjacent sequences: A002180 A002181 A002182 this_sequence A002184 A002185 
               A002186
%K A002183 nonn,nice
%O A002183 1,2
%A A002183 N. J. A. Sloane (njas(AT)research.att.com).
%E A002183 More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 24 2002