This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A283995 Least number with same prime signature as the n-th divisorial: a(n) = A046523(A007955(n)). 3
 1, 2, 2, 8, 2, 36, 2, 64, 8, 36, 2, 1728, 2, 36, 36, 1024, 2, 1728, 2, 1728, 36, 36, 2, 331776, 8, 36, 64, 1728, 2, 810000, 2, 32768, 36, 36, 36, 10077696, 2, 36, 36, 331776, 2, 810000, 2, 1728, 1728, 36, 2, 254803968, 8, 1728, 36, 1728, 2, 331776, 36, 331776, 36, 36, 2, 46656000000, 2, 36, 1728, 2097152, 36, 810000, 2, 1728, 36, 810000, 2, 139314069504, 2, 36 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Antti Karttunen, Table of n, a(n) for n = 1..1025 FORMULA a(n) = A046523(A007955(n)). MATHEMATICA Table[If[n == 1, 1, Times @@ MapIndexed[Prime[First@ #2]^#1 &, FactorInteger[Times @@ Divisors@ n][[All, -1]]]], {n, 74}] (* Michael De Vlieger, Mar 22 2017 *) PROG (PARI) A007955(n) = if(issquare(n, &n), n^numdiv(n^2), n^(numdiv(n)/2)); \\ From Charles R Greathouse IV, Feb 11 2011 A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };  \\ From Charles R Greathouse IV, Aug 17 2011 A283995(n) = A046523(A007955(n)); (Scheme) (define (A283995 n) (A046523 (A007955 n))) CROSSREFS Cf. A007955, A046523, A069264, A283990. Sequence in context: A086328 A095997 A274139 * A056189 A121860 A283990 Adjacent sequences:  A283992 A283993 A283994 * A283996 A283997 A283998 KEYWORD nonn AUTHOR Antti Karttunen, Mar 22 2017 STATUS approved

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 December 13 17:13 EST 2019. Contains 329970 sequences. (Running on oeis4.)