3-Digit Osiris Number C Program

Here we will see the Osiris number. An Osiris number is such kind of number that are equal to the sum of permutations of sub-samples of their own digits. Suppose the number is 132. Then if we calculate {12 + 21 + 13 + 31 + 23 + 32} this is also 132. So the number is Osiris number. We have to check whether the given number is Osiris number or not.

Approach is simple. If we analyze the numbers, each digit is occurring twice so they are in ones position and tens position. So we can check by multiplying 11 with them.

Algorithm

isOsirisNumber(n) −

Begin
   a := last digit
   b := second digit
   c := first digit
   digit_sum := a + b + c
   if n = (22 * digit_sum), then
      return true
   end if
   return false
End

Example

#include
using namespace std;
bool isOsirisNumber(int n) {
   int a = n % 10;
   int b = (n / 10) % 10;
   int c = n / 100;
   int sum = a + b + c;
   if (n == (22 * sum)) {
      return true;
   }
   return false;
}
int main() {
   int n = 132;
   if (isOsirisNumber(n))
      cout << "This is Osiris number";
   else
      cout << "This is Not Osiris number";
}

Output

This is Osiris number