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496, 8128, 33550336, 8589869056, 137438691328, 2305843008139952128

Q: Can you find a perfect number greater than 30?

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28

Find the sum of the proper divisors of that number.a perfect number equals the sum of its proper divisorsa deficient number is greater than the sum of its proper divisorsan abundant number is less than the sum of its proper divisors

6443 = 6482 = 64

The smallest perfect square is 121.

So far, no odd perfect numbers have been found to exist. If and only if one does exist, it will be far larger than the number in the question. In fact, it has been proven concretely that if an odd perfect number exists, it is greater than 10^300, and it is conjectured that if such a number exists, it is greater than 10^500.

Related questions

28

Find the sum of the proper divisors of that number.a perfect number equals the sum of its proper divisorsa deficient number is greater than the sum of its proper divisorsan abundant number is less than the sum of its proper divisors

6443 = 6482 = 64

The smallest perfect square is 121.

So far, no odd perfect numbers have been found to exist. If and only if one does exist, it will be far larger than the number in the question. In fact, it has been proven concretely that if an odd perfect number exists, it is greater than 10^300, and it is conjectured that if such a number exists, it is greater than 10^500.

The first perfect square which is greater than 300 is 324.

The smallest prime number greater than 200 is 211.

4

A perfect number equals the sum of its proper divisors. A deficient number is greater than the sum of its proper divisors. An abundant number is less than the sum of its proper divisors. Proper divisors of a number do not include the number itself.

The greater of two numbers is 7 more than the lesser Three times the greater number is 5 more than 4 times the lesser number Find the numbers?

6 and 28

Abundant is a number for which the sum of all its proper factors is greater than the number itself. Deficient is a number for which the sum of all its proper factors is less than the number itself. Perfect is a number for which the sum of all its proper factors is the number itself.