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Multiple Harshad Numbers (Posted on 2016-07-10) Difficulty: 3 of 5
A number is called Harshad if it is divisible by the sum of its digits.
For example 102 is divisible by 3.
This quotient is not Harshad because 34 is not divisible by 7.
108 is a Multiple Harshad Number because the process ends at 1:
108/9=12; 12/3=4; 4/4=1.

Find the Multiple Harshad Numbers below 1000.

Hard bonus: Apparently there are only 15095 of these numbers. Can you prove the list is finite?

No Solution Yet Submitted by Jer    
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  Subject Author Date
re(3): Moby Dick has been captured -- part 2 solvedCharlie2016-07-14 15:10:48
re(2): Moby Dick has been captured -- part 2 solvedCharlie2016-07-14 15:04:28
re: Moby Dick has been captured -- part 2 solvedJer2016-07-14 13:55:58
re: phase 24 output continuedCharlie2016-07-14 11:19:39
phase 24 outputCharlie2016-07-14 11:18:15
Some ThoughtsMoby Dick has been captured -- part 2 solvedCharlie2016-07-14 11:08:43
re: The method for part 2Charlie2016-07-10 21:13:38
re(2): part oneCharlie2016-07-10 15:00:45
Some ThoughtsThe method for part 2Charlie2016-07-10 14:27:26
re: part oneCharlie2016-07-10 13:06:36
re: part onearmando2016-07-10 13:06:21
Some Thoughtspart oneCharlie2016-07-10 12:43:17
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