The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A270713 Numbers that are equal to the product of the number of divisors of their first k powers, for some k. 6
 1, 2, 225, 4050, 66528, 113400, 120960, 92802153185280, 726046074908612178739200000000000, 3524292573661555639437312000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(2) = 2 is the only prime term possible, since the product of tau(p)^k is always even, and 2 is the only even prime. - Michael De Vlieger, Mar 27 2016 a(11) > 10^40. - Hiroaki Yamanouchi, Apr 07 2016 The corresponding k are: 1, 2, 3, 3, 3, 3, 3, 4, 5, 5. - Michel Marcus, Apr 08 2016 LINKS EXAMPLE d(4050) * d(4050^2) = 30 * 135 = 4050; d(66528) * d(66528^2) = 96 * 693 = 66528. MAPLE with(numtheory): P:=proc(q) local a, k, n; for n from 1 to q do a:=tau(n); k:=1; while a

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 8 04:26 EDT 2020. Contains 333312 sequences. (Running on oeis4.)