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