PDS number:> a number whose product of digits is completely divisible by sum of its digits.(adsbygoogle = window.adsbygoogle || []).push({});

Now the series comes out to be: 1,2,3,4,5,6,7,8,9,10,20,22,30,36,40,44,50,60,63,66,70....... so on.

(1. Numbers from 1 to 10 are already divisible by themselves.

2. Then all the multiples of 22 follow the pds series completely.

3. And finally all the numbers which contains atleast one zero are also pds number).

I have to find the general term of this pds series so that i can find the nth pds number in a single shot.

Plz help in doing that as soon as possible.

Thanks in advance....

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Finding nth PDS number

Loading...

Similar Threads - Finding number | Date |
---|---|

Is it possible to find this number without brute force? | Aug 21, 2015 |

Find minimum number of generators for Z/nZ | May 25, 2015 |

Finding number of automorphisms for Z/nZ^* | May 15, 2015 |

Help finding a topic in Number Theory | Jan 14, 2015 |

Analytic expression to find the range of non-negative numbers in array | Nov 12, 2013 |

**Physics Forums - The Fusion of Science and Community**