Digit Supreme!
A number is called digit supreme if it is divisible by some natural number , and it's repeated digit sum is . Find the percentage of numbers below 100, which are digit supreme numbers. Give answer to two decimal places. Repeated digit sum is the continuous application of digits sums, until a constant number is reached.
The answer is 55.55.
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1 solution
Main idea behind solution :
n ==R(n) (mod 9). Where R(n) is the repeated digit sum of n. Rest is small caseworks.