JavaAlgorithms/Maths/PerfectNumber.java
2020-10-24 10:23:28 +00:00

33 lines
997 B
Java

package Maths;
/**
* In number theory, a perfect number is a positive integer that is equal to the sum of its positive
* divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3 (excluding
* itself), and 1 + 2 + 3 = 6, so 6 is a perfect number.
*
* <p>link:https://en.wikipedia.org/wiki/Perfect_number
*/
public class PerfectNumber {
public static void main(String[] args) {
assert isPerfectNumber(6); /* 1 + 2 + 3 == 6 */
assert !isPerfectNumber(8); /* 1 + 2 + 4 != 8 */
assert isPerfectNumber(28); /* 1 + 2 + 4 + 7 + 14 == 28 */
}
/**
* Check if {@code number} is perfect number or not
*
* @param number the number
* @return {@code true} if {@code number} is perfect number, otherwise false
*/
public static boolean isPerfectNumber(int number) {
int sum = 0; /* sum of its positive divisors */
for (int i = 1; i < number; ++i) {
if (number % i == 0) {
sum += i;
}
}
return sum == number;
}
}