numlib::numdivisors --
number of divisors of an integer
Introductionnumlib::numdivisors(n) returns the number
of positive divisors of n.
Call(s)numlib::numdivisors(n)
Parametersn |
- | an integer |
Returnsnumlib::numdivisors(n) returns a
nonnegative integer.
Related
Functionsnumlib::divisors,
numlib::numprimedivisors,
numlib::primedivisors
Detailsnumlib::numdivisors(0) returns
0.numlib::numdivisors returns the function call with
evaluated argument if the argument is not a number.numlib::numdivisors returns an error if the argument
evaluates to a number of wrong type.numlib::numdivisors is the same function as
numlib::tau.
Example
1We compute the number of positive divisors of the number (one of the highly composite numbers studied by S. Ramanujan in 1915):
>> numlib::numdivisors(6746328388800)
10080
Backgroundifactor is used for factoring
n.