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?

(In reply to re: Moby Dick has been captured -- part 2 solved by Jer)

The largest has 440 steps, as do the 2nd, 3rd and 4th largest.  All are listed in comment 9 (re: phase 24 output continued) -- (I forgot to take out the "re:"). The number of steps is the 3-digit number preceding the MHN, so you can find in page 440b, where b stands for blank.

Posted by Charlie on 2016-07-14 15:04:28