Math::N...orCount(3)

💖 Math::N...orCount(3) — like, the manual, bestie 💖

okay so this is the page for Math::NumSeq::DivisorCount, a lil' module in the User Contributed Perl Documentation collection. no cap, it's about counting divisors and it's lowkey iconic. let's get into it 🫶

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✨ NAME ✨

Math::NumSeq::DivisorCount — how many divisors 💅

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🌸 SYNOPSIS 🌸

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

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🦋 DESCRIPTION 🦋

so basically it's the number of divisors of i, and the sequence goes like this:

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

let me break it down bestie. i=1 is divisible only by 1 so value=1. then i=2 is divisible by 1 and 2 so value=2. or like, for example i=6 is divisible by 4 numbers 1,2,3,6 so value=4. the way that math just works 😭✨

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💜 FUNCTIONS 💜

see "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes. that's the shared lore iykyk.

• $seq = Math::NumSeq::DivisorCount->new () — create and return a new sequence object. brand new main character, periodt 👑

🎀 Random Access 🎀

• $value = $seq->ith($i) — return the number of prime factors in $i.

okay so heads up: 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. so like, don't send it into the void fr fr 💀

• $bool = $seq->pred($value) — return true if $value occurs as a divisor count, which simply means "$value >= 1". that's it, that's the whole vibe check ✅

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🌈 SEE ALSO 🌈

• Math::NumSeq
• Math::NumSeq::PrimeFactorCount
• Math::Factor::XS

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🏠 HOME PAGE 🏠

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

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📜 LICENSE 📜

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/>.

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and that's the whole page bestie!! this was perl v5.42.0, dated 2025-07-25, and honestly? iconic. stay slaying, go count some divisors 💖✨🎀🦋