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Q: Is 1 a perfect number
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Is 13 a perfect number?

No, it is not.Incidentally, is a number p is prime then its 2 factors are 1 and p. Their sum is p+1.If p is a perfect number then this sum must be 2p.That is, p+1 = 2p or p = 1.But 1 is not a prime. So no prime can be a perfect number and since 13 is prime, it cannot be a perfect number.


Is 8 a perfect number?

A perfect number is the sum of its divisors; for example 6 is a perfect number because the sum of its divisors is 6 (1 + 2 + 3). The sum of the divisors of 8 is 7 (1 + 2 + 4), so 8 is not a perfect number.


What are the perfect numbers between 1 and 30?

The two perfect numbers between 1 and 30 are: 6, 28


What are the 'perfect' number between 400 and 500?

There is only one Perfect Number within this range : 496. If 2ⁿ - 1 is prime then 2ⁿ⁻¹(2ⁿ - 1) is a perfect number. In this instance n = 5 then, 2⁴(2⁵ - 1) = 16 x 31 = 496...........and 31 is a prime number.


How do you find perfect numbers below 30?

A perfect number is a whole number such that when you add up all of the factors less than that number, you get that number.There are only two perfect numbers less than 30. The first one is 6 since 1+2+3-6 next we see that 1 + 2 + 4 + 7 + 14=28 so 28 is the only other perfect number below 30.Euclid proved that 2p−1(2p−1) is an even perfect number whenever 2p−1 is prime.This works for 6 and 28 where p is a prime and is 2 and 3 respectively. Using this formula for p=5, the next perfect number is 24(25−1) = 496The next one is p = 7 where we have 26(27−1) = 8128.The next perfect number is 33550336 we get this with the prime 13.

Related questions

What number is both a square number and a cube number between 1 and 25?

There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.There is not a number that is a perfect square and perfect cube between 1 and 25.


What is the smallest perfect number?

the smallest perfect number is 1


Is 13 a perfect number?

No, it is not.Incidentally, is a number p is prime then its 2 factors are 1 and p. Their sum is p+1.If p is a perfect number then this sum must be 2p.That is, p+1 = 2p or p = 1.But 1 is not a prime. So no prime can be a perfect number and since 13 is prime, it cannot be a perfect number.


Does a number have to be composite to be a perfect square?

Yes, except for the number 1, which is a perfect square but not composite.


Is 8 a perfect number?

A perfect number is the sum of its divisors; for example 6 is a perfect number because the sum of its divisors is 6 (1 + 2 + 3). The sum of the divisors of 8 is 7 (1 + 2 + 4), so 8 is not a perfect number.


Is 1 a prime number or a square number?

1 is not considered a prime number; 1 is a perfect square.


Of all the numbers what number that is perfect?

only the number 1 (one)because it is perfect nth root .


Is 9 a perfect number?

No The first perfect number is 6 because 1, 2 and 3 are the proper positive divisors and 1 + 2 + 3 = 6 The next perfect number is: 1 + 2 + 4 + 7 + 14 = 28


What are the perfect numbers between 1 and 30?

The two perfect numbers between 1 and 30 are: 6, 28


Is 1 a perfect square root?

Not sure what you mean by "perfect square root".A "perfect square" is the square of a whole number; if that's what you mean, yes, it's the square of the number 1.


What is the largest perfect factorial number which is odd?

It is 1! = 1.


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.