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 Multiple Harshad Numbers (Posted on 2016-07-10)
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 No Rating

 Subject Author Date re(3): Moby Dick has been captured -- part 2 solved Charlie 2016-07-14 15:10:48 re(2): Moby Dick has been captured -- part 2 solved Charlie 2016-07-14 15:04:28 re: Moby Dick has been captured -- part 2 solved Jer 2016-07-14 13:55:58 re: phase 24 output continued Charlie 2016-07-14 11:19:39 phase 24 output Charlie 2016-07-14 11:18:15 Moby Dick has been captured -- part 2 solved Charlie 2016-07-14 11:08:43 re: The method for part 2 Charlie 2016-07-10 21:13:38 re(2): part one Charlie 2016-07-10 15:00:45 The method for part 2 Charlie 2016-07-10 14:27:26 re: part one Charlie 2016-07-10 13:06:36 re: part one armando 2016-07-10 13:06:21 part one Charlie 2016-07-10 12:43:17

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