|
Search: id:A003680
|
|
|
| A003680 |
|
Smallest number with 2n divisors.
(Formerly M1586)
|
|
+0
19
|
|
| 2, 6, 12, 24, 48, 60, 192, 120, 180, 240, 3072, 360, 12288, 960, 720, 840, 196608, 1260, 786432, 1680, 2880, 15360, 12582912, 2520, 6480, 61440, 6300, 6720, 805306368, 5040, 3221225472, 7560, 46080, 983040, 25920, 10080, 206158430208, 3932160
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Refers to the least number which is multiplicatively n-perfect, i.e. least number m the product of whose divisors equals m^n. - Lekraj Beedassy (blekraj(AT)yahoo.com), Sep 18 2004
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 840.
A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1964, p. 23.
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=1..1000 (using A005179)
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
|
|
FORMULA
|
Bisection of A005179(n). - Lekraj Beedassy (blekraj(AT)yahoo.com), Sep 21 2004
|
|
CROSSREFS
|
Cf. A061283
Sequence in context: A053635 A054061 A118224 this_sequence A051487 A111286 A058295
Adjacent sequences: A003677 A003678 A003679 this_sequence A003681 A003682 A003683
|
|
KEYWORD
|
nonn,easy,nice
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein
|
|
EXTENSIONS
|
More terms from Jud McCranie (j.mccranie(AT)comcast.net) Oct 15 1997
|
|
|
Search completed in 0.002 seconds
|
