Math::NumSeq::HarshadNumbers -- numbers divisible by sum of digits


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


The harshad numbers 1 to 10, then 12, 18, 20, 21, etc, being integers which are divisible by the sum of their digits. For example 18 is a harshad number because 18 is divisible by its digit sum 1+8=9.


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

$seq = Math::NumSeq::HarshadNumbers->new ()
$seq = Math::NumSeq::HarshadNumbers->new (radix => $r)

Create and return a new sequence object.

The optional radix parameter (default 10, decimal) sets the base to use for the digits.

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

Return true if $value is a harshad number, ie. is divisible by the sum of its digits (in the given radix).


Math::NumSeq, Math::NumSeq::DigitSum, Math::NumSeq::MoranNumbers



Copyright 2011, 2012, 2013, 2014, 2016, 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 <>.