# NAME

Math::NumSeq::DivisorCount -- how many divisors

# SYNOPSIS

`````` use Math::NumSeq::DivisorCount;
my \$seq = Math::NumSeq::DivisorCount->new;
my (\$i, \$value) = \$seq->next;``````

# DESCRIPTION

The number of divisors of i,

``````    1, 2, 2, 3, 2, 4, 2, 4, 3, 4, 2, 6, 2, 4, 4, 5, 2, 6, 2, ...
starting i=1``````

i=1 is divisible only by 1 so value=1. Then i=2 is divisible by 1 and 2 so value=2. Or for example i=6 is divisible by 4 numbers 1,2,3,6 so value=4.

# FUNCTIONS

See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.

`\$seq = Math::NumSeq::DivisorCount->new ()`

Create and return a new sequence object.

## Random Access

`\$value = \$seq->ith(\$i)`

Return the number of prime factors in `\$i`.

This calculation requires factorizing `\$i` and in the current code after small factors a hard limit of 2**32 is enforced in the interests of not going into a near-infinite loop.

`\$bool = \$seq->pred(\$value)`

Return true if `\$value` occurs as a divisor count, which simply means `\$value >= 1`.

Math::Factor::XS

http://user42.tuxfamily.org/math-numseq/index.html

Copyright 2011, 2012, 2013, 2014, 2016, 2017, 2019, 2020 Kevin Ryde

Math-NumSeq is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3, or (at your option) any later version.

Math-NumSeq is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with Math-NumSeq. If not, see <http://www.gnu.org/licenses/>.