# Solution to Project Euler Problem 30: Digit fifth powers - Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits: As 1 = 1^4 is not a sum it is not included. The sum of these numbers is 1634 + 8208 + 9474 = 19316. Find the sum of all the numbers that can be written as the sum of fifth powers of their digits.

**Updated:**April 11, 2021 —

**Training Time:**2 minutes

Overseen by: Archangel Macsika

All Training Resources

Scroll for more menu list

**Topic:** Project Euler Problem 30: Digit fifth powers.

**Difficulty:** Easy.

**Objective:** Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:

1634 = 1^{4} + 6^{4} + 3^{4} + 4^{4}

8208 = 8^{4} + 2^{4} + 0^{4} + 8^{4}

9474 = 9^{4} + 4^{4} + 7^{4} + 4^{4}

As 1 = 1^{4} is not a sum it is not included.

The sum of these numbers is 1634 + 8208 + 9474 = 19316.

Find the sum of all the numbers that can be written as the sum of fifth powers of their digits.

**Input:** None.

**Expected Output:** 443839.

### Sikademy Solution in Java Programming Language

```
package sikademy;
/**
*
* @author Archangel Macsika
* Copyright (c) Sikademy. All rights reserved
*/
public class SikademyEulerSolution {
public String run() {
int sum = 0;
for (int i = 2; i < 1000000; i++) {
if (i == fifthPowerDigitSum(i))
sum += i;
}
return Integer.toString(sum);
}
private static int fifthPowerDigitSum(int x) {
int sum = 0;
while (x != 0) {
int y = x % 10;
sum += y * y * y * y * y;
x /= 10;
}
return sum;
}
public static void main(String[] args) {
SikademyEulerSolution solution = new SikademyEulerSolution();
System.out.println(solution.run());
}
}
```

### Sikademy Solution in Python Programming Language

```
#
# @author Archangel Macsika
# Copyright (c) Sikademy. All rights reserved.
#
def compute():
ans = sum(i for i in range(2, 1000000) if i == fifth_power_digit_sum(i))
return str(ans)
def fifth_power_digit_sum(n):
return sum(int(c)**5 for c in str(n))
if __name__ == "__main__":
print(compute())
```