## Problem 30: Distinct Powers

Problem 30
Turned integer into a string, took each character and did the operations added the powers that way. Then I just checked the numbers if they were equal.

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

1634 = 14 + 64 + 34 + 44
8208 = 84 + 24 + 04 + 84
9474 = 94 + 44 + 74 + 44
As 1 = 14 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.
*/
import java.util.*;
public class problem29 {

public static boolean isDigitFifth(int num){
String strNum = Integer.toString(num);
int sum = 0;
for(int i = 0; i &lt; strNum.length(); i++)
{
sum += Math.pow(
Integer.parseInt(
Character.toString(
strNum.charAt(i))),5);
}
if(sum == num)
return true;
else return false;
}
public static void main(String[] args) {
int sum = 0;
for(int i = 2; i &lt; 1000000; i++)
{
if(isDigitFifth(i)){
sum += i;
System.out.println(i);
}
}
System.out.println(sum);
}
}

```

Output
——————–Configuration: ——————–
4150
4151
54748
92727
93084
194979
443839

Process completed.