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How is 28 a perfect number?

Updated: 4/28/2022
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15y ago

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A number n for which the sum of all the positive integer factors of n which are less than n add up to n.

For example, 6 and 28 are perfect numbers. The number 6 has factors 1, 2, and 3, and 1 + 2 + 3 = 6. The number 28 has factors 1, 2, 4, 7, and 14, and 1 + 2 + 4 + 7 + 14 = 28

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Related questions

Is 28 a perfect number?

Yes it is. 6 is the first perfect number, 28 is the second perfect number.


What is the Perfect number and what is the perfect number after 28?

A perfect number is a number that is the sum of all its proper factors (that is all its factors excluding itself). The next perfect number after 28 is 496


Why is 28 a perfect number?

A number is perfect if all it's factors (barring itself) sum to make the original number. In this case, the factors of 28 are 1,2,4,7 and 14. Added up, these equal 28. Thus, 28 is a perfect number.


Is there a perfect number between 20 and 30?

28 is a perfect number.


When after 11 is there a perfect number?

The next perfect number after 11 is 28.


Is 29 a perfect number?

29 is not a perfect number - though 28, its predecessor, is.


Is 22 a perfect number or a near number?

22 is not a perfect number but 6, 28, 496 and 8128 are perfect numbers.


What is the second perfect number?

28


Is 25 a perfect number?

No, but 28 is...


Is the number 42 a perfect number?

No, it is not a perfect number. The first four known perfect numbers are 6, 28, 496 and 8,128.


How is 20 a perfect number?

It isn't a perfect number.A perfect number is a number which is the sum of its proper divisors (including 1, but excluding itself).The divisors of 20 are 1, 2, 4, 5, 10.1 + 2 + 4 + 5 + 10 = 22 => 20 is not a perfect number.An example of a perfect number is 28:The divisors of 28 are 1, 2, 4, 7, 141 + 2 + 4 + 7 + 14 = 28 => 28 is a perfect number.


What is the next perfect number after 6?

The second perfect number after 6 is 28. The sum of the factors of 28, excluding itself, is 1 + 2 + 4 + 7 + 14 = 28.