maths.special_numbers.ugly_numbers
==================================

.. py:module:: maths.special_numbers.ugly_numbers

.. autoapi-nested-parse::

   Ugly numbers are numbers whose only prime factors are 2, 3 or 5. The sequence
   1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, … shows the first 11 ugly numbers. By convention,
   1 is included.
   Given an integer n, we have to find the nth ugly number.

   For more details, refer this article
   https://www.geeksforgeeks.org/ugly-numbers/



Functions
---------

.. autoapisummary::

   maths.special_numbers.ugly_numbers.ugly_numbers


Module Contents
---------------

.. py:function:: ugly_numbers(n: int) -> int

   Returns the nth ugly number.
   >>> ugly_numbers(100)
   1536
   >>> ugly_numbers(0)
   1
   >>> ugly_numbers(20)
   36
   >>> ugly_numbers(-5)
   1
   >>> ugly_numbers(-5.5)
   Traceback (most recent call last):
       ...
   TypeError: 'float' object cannot be interpreted as an integer