An integer number is said to be a perfect number if its
factors, including 1 but not the number itself, sum to the
number. For example, 6 is a perfect number because 6 = 1 + 2
+ 3. Write a Java program, which finds and prints all
perfect numbers that are less than 1600.
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Answer Posted / vinoliya rani.e
If the sum of the divisors exactly equals the number, the
number is called perfect.
For example, 15 has divisors 1, 3 and 5. If we add these
together, we get 1 + 3 + 5 = 9 which is less than 15, so 15
is a deficient number. On the other hand, 12 has divisors 1,
2, 3, 4 and 6. Adding these up gives 1 + 2 + 3 + 4 + 6 = 16
which is greater than 12, so 12 is an abundant number. The
number 6 has divisors 1, 2 and 3. Adding these gives 1 + 2 +
3 = 6, so 6 is a perfect number.
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