Talk:Henry Ernest Dudeney/Puzzles and Curious Problems/83 - Three Different Digits/Solution

Code:

   #include <stdio.h>
   
   int main()
   {
       for (int i = 100; i < 1000; i++)
       {
  	        int a = i / 100;
   	    int b = (i / 10) % 10;
   	    int c = i % 10;
   	    if (a != b && b != c && c!= a && i % ((a + b + c)*(a + b + c)) == 0)
   	        printf("%d, ", i);
       }
   }

Output:

 162, 243, 324, 392, 405, 512, 605, 648, 810, 972, 

Try it online!

Alternately, refer to OEIS: A072081 for a list of numbers divisible by the square of the sum of their digits in base 10, repetition included, however.

--RandomUndergrad (talk) 12:29, 20 January 2022 (UTC)

That's a worthy precedent. I have taken the opportunity to put this live. Thanks. --prime mover (talk) 17:01, 20 January 2022 (UTC)