The Divisors function computes the set of positive divisors of n.

Every positive integer is a divisor of 0, but one cannot represent the set of all positive integers as an enumerated set. Therefore, Divisors(0) returns an error.

$\mathrm{with}\left(\mathrm{NumberTheory}\right)\:$

$\mathrm{Divisors}\left(-12\right)$

$\left\{1\,2\,3\,4\,6\,12\right\}$

$\mathrm{Divisors}\left(1\right)$

$\left\{1\right\}$

$\mathrm{Divisors}\left(57\right)$

$\left\{1\,3\,19\,57\right\}$

$\mathrm{andmap}\left(d\→\mathbf{not}2\∈d\,\left[\mathrm{seq}\left(\mathrm{Divisors}\left(4n-1\right)\,n\=1..10\right)\right]\right)$

$\mathrm{true}$

$\mathrm{Divisors}\left(101\right)$

$\left\{1\,101\right\}$

$\mathrm{Divisors}\left(0\right)$

Error, (in NumberTheory:-Divisors) cannot represent all positive divisors of 0

The NumberTheory[Divisors] command was introduced in Maple 2016.

For more information on Maple 2016 changes, see Updates in Maple 2016.