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An example - the divisors of 28 are 1 -2 - 4 - 7 - 14 and 28. In other words 1+2+4+7+14 = 28

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โˆ™ 2012-04-08 07:52:13
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Q: What are perfect divisors?
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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 is the seventh perfect number?

a perfect number is defined as a positive integer which is the sum of its proper positive divisors, that is, the sum of the positive divisors excluding the number itself 137,438,691,328 is the 7th perfect number.


What is a perfect number and give an example of one?

A perfect number is equal to the sum of its proper divisors (the factors excluding the number itself.) 6 is a perfect number. Its proper divisors are 1, 2 and 3.


What is a perfect Abundant Or dificient number?

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.


Why are perfect numbers perfect?

A perfect number is only classified as a perfect number because all of its proper divisors add up to itself. For example, the proper divisors of six are one, two and three. Those numbers added together equal six. Therefore, six is a perfect number.


What is a picture perfect number?

In math a picture perfect number is a number which is the sum of its proper divisors.


What are perfect factors numbers?

In number theory, a perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself.


Why 21 is not a perfect number?

First, you want to know the definition of a perfect number: A perfect number is an integer which is equal to the sum of all its positive integer divisors that are less than itself. Example: The positive integer divisors of 6, less than 6, are 1, 2, and 3. The sum of those divisors is 1 + 2 + 3 = 6. Therefore, 6 is a perfect number. Now, 21 does not meet this definition and therefore is not a perfect number. Let's try it. There are three positive divisors of 21, namely, 1, 3, and 7, that are less than 21, itself. (There are no others.) But the sum of these divisors is 1 + 3 + 7 = 11, which is not equal to 21. Therefore, we confirm that 21 is not a perfect number.


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 perfect number and what is the perfect number after six?

A perfect number is a number, which, when adding all of its proper divisors (all divisors except himself) give the number itself Divisors of 6: 1,2,3 ------>1+2+3=6 The next proper number is 28 Divisors of 28:1,2,4,7,14 -------> 1+2+4+7+14=28 All perfect numbers found so far are found using this formula: 2^(p-1)*((2^p)-1), where p, and ((2^p)-1) are prime numbers


What are the perfect numbers?

A number is considered perfect if it is equal to the sum of all its positive factors/divisors, excluding itself. These are the first few perfect numbers: * 6 * 28 * 496 * 8128 * 33550336 * 8589869056A perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. An example 1+2+3=6 and 1x2x3=6


What are 2 almost perfect numbers between 5 and 20?

Perfect numbers are numbers where all the factors add to that number. For example 6's factors are 1,2, and 3 and 1+2+3=6. Therefore the next perfect number isn't until 28 which is 1,2, 4, 7, 14 where 1+2+4+7+14= 28 An almost perfect number is a number which, when adding all of its proper divisors (all divisors except himself), gives you one less, or one more then the number itlself. Up to now all known almost perfect numbers are 2^n. So to answer your question, the 2 almost perfect numbers between 5 and 20 are 8 and 16. Divisors of 8: 1,2,4 -----> 1+2+4=7 Divisors of 16: 1,2,4,8 -----> 1+2+4+8=15


What are all the almost perfect numbers?

An almost perfect number is a natural number n such that the sum of all divisors of n is equal to 2n - 1.


Is 214 abundant deficient or perfect?

A perfect number is a number which is the sum of it's positive proper divisors. 214 has divisors: 1, 2, 107 1 + 2 + 107 = 110 != 214 Thus 214 is not a perfect number The first 4 perfect numbers are: 6, 28, 496 and 8128.


What are all the perfect numbers 1 - 300?

-299


Why are no prime numbers perfect numbers?

Prime numbers have two factors. The sum of their proper divisors is always 1.


Is 8128 a abundant deficient or perfect number?

abundant since sum of divisors is 16256


Is the number 14 a abundant perfect or deficient number?

14 is deficient. It is less than the sum of it's divisors. In mathematics, a deficient number or defective number is a number n for which σ(n) < 2n. Here σ(n) is the sum-of-divisors function: the sum of all positive divisors of n, including n itself Proof.. divisors of 14 are 1,2, and 7 and 14. Now, 2n=28 and and the sum the all the divisors including 14 is 24<28


What is a mirror perfect number?

A perfect number is equal to the sum of its proper positive divisors.A mirror perfect number is equal to the sum of its proper positive divisors when they are read backwards.From a paper by Joseph L. Pe which is available on the 'net:10311 = 1 + 3 + 7 + 21 + 491 + 1473 + 34377343 + 3741 + 194 + 12 + 7 + 3 + 1 = 1130110311 is perfect and mirror perfect.


Why is 496 a perfect number?

Divisors of 496 are 1, 2, 4, 8, 16, 31, 62, 124 and 248 and the sum of all these divisors is 496 (1+2+4+8+16+31+62+124+248=496) so 496 is a perfect number.The first perfect number is 6, because 1, 2, and 3 are its proper positive divisors, and 1 + 2 + 3 = 6. Equivalently, the number 6 is equal to half the sum of all its positive divisors: (1 + 2 + 3 + 6) / 2 = 6.


What is the math word for when a number and its proper factors add up to be the same?

Perfect number (and it's proper divisors not proper factors)


Is 76 an abundant deficient or perfect?

Abundant, deficient and perfect numbers are determined by the sum of the proper divisors (or factors) of a number, which excludes the number itself. The factors of 76 are : 1,2,4,19,38,76 . . . after excluding the number itself the sum of the proper divisors is :- 1+2+4+19+38= 64 Deficient numbers occur when the sum of the proper divisors is less than the number itself. As 64 is less that 76 then it is deficient.


What Is so perfect about the number 6?

6 is defined as a perfect number because the sum of the divisors of 6 (1,2,3,6) sum up to 12, which is twice 6. Equivalently, the sum of its proper divisors (1,2,3) is the number itself.The origin of the phrase perfect number is unclear, but some theologians suggest it originates from the Bible, where God created the world in six days, with man on the sixth day.


Ditloid puzzle 6 I A P N?

"Six Is A Perfect Number", meaning that it is the sum of its proper divisors: 6 = 1 + 2 + 3.


What is the term for equal to the sum of its proper factors?

A perfect number is the term for a number that is equal to the sum of its proper divisors. Be careful not to confuse that with proper factors. Proper divisors include 1 but not the number itself. Proper factors don't include either I or the original number.