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Q: Is 15 a abundant deficient or perfect number?

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No, it is deficient.

Deficient The factors of 16 (excluding itself) are: 1, 2, 8 1+2+8=11 This is less than 16, therefore deficient.

Yes 15 is a deficient number because its factors add upp to less than the number itself,which is 15.

Deficient number From Wikipedia, the free encyclopediaIn mathematics, a deficient number or defective number is a number n for which Ïƒ(n) < 2n. Here Ïƒ(n) is the sum-of-divisors function: the sum of all positive divisors of n, including nitself. An equivalent definition is that the sum of all proper divisors of the number (divisors other than the number itself) is less than the number. The value 2n âˆ’ Ïƒ(n) is called the deficiency of n.The first few deficient numbers are: 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 23, 25, 26, 27, â€¦ (sequence A005100 in OEIS)As an example, consider the number 21. Its divisors are 1, 3, 7 and 21, and their sum is 32. Because 32 is less than 2 Ã— 21, the number 21 is deficient. Its deficiency is 2 Ã— 21 âˆ’ 32 = 10.An infinite number of both even and odd deficient numbers exist. For example, all odd numbers with one or two distinct prime factors, and all proper divisors of deficient or perfect numbers are deficient.Closely related to deficient numbers are perfect numbers with Ïƒ(n) = 2n, and abundant numbers with Ïƒ(n) > 2n. The natural numbers were first classified as either deficient, perfect or abundant byNicomachus in his Introductio Arithmetica (circa 100).

No, because 15 is not a perfect square. The closest perfect square is 16, whose square root is 4.

Related questions

No, it is deficient.

A perfect number is one with factors (apart from itself) that sum to give the original number. An abundant number is one where this sum is greater than the original number. A deficient number is one where the sum is less than the original number. The factors of 75 are 1, 3, 5, 15 and 25. The sum of these numbers is 49. Thus 75 is a deficient number.

15 is deficient.

They refer to the sum of a number's proper divisors, defined here as all of the factors except the number itself.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

There are more than just prime and composite, there are 3 other types which you can describe a number by the kind of factors. They are abundant number, deficient number, and perfect number. An abundant number is a number which if its factors were all added up , the sum would be greater than the number itself. A deficient number is a number in which if all its factors were added up the sum would be less than the number itself. A perfect number is in which a numbers factors are added up and the sum will be the same number as the number itself. Example of abundant number: 12 because these are its factors, 1+2+3+4+6 which equals 16 and 16 is greater than 12. Example of a deficient number: 15 because 15's factors are 1+3+5 which equals 9 and 9 is less than 15. Example of a perfect number: 6 because 6's factors are 1+2+3 which equals 6 and 6 is the same as 6

It is not. See for yourself: It's proper factors are 1, 3, and 5, for a total of 9 < 15; it is deficient. QED.

Deficient The factors of 16 (excluding itself) are: 1, 2, 8 1+2+8=11 This is less than 16, therefore deficient.

Yes 15 is a deficient number because its factors add upp to less than the number itself,which is 15.

No.

Deficient number From Wikipedia, the free encyclopediaIn mathematics, a deficient number or defective number is a number n for which Ïƒ(n) < 2n. Here Ïƒ(n) is the sum-of-divisors function: the sum of all positive divisors of n, including nitself. An equivalent definition is that the sum of all proper divisors of the number (divisors other than the number itself) is less than the number. The value 2n âˆ’ Ïƒ(n) is called the deficiency of n.The first few deficient numbers are: 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 23, 25, 26, 27, â€¦ (sequence A005100 in OEIS)As an example, consider the number 21. Its divisors are 1, 3, 7 and 21, and their sum is 32. Because 32 is less than 2 Ã— 21, the number 21 is deficient. Its deficiency is 2 Ã— 21 âˆ’ 32 = 10.An infinite number of both even and odd deficient numbers exist. For example, all odd numbers with one or two distinct prime factors, and all proper divisors of deficient or perfect numbers are deficient.Closely related to deficient numbers are perfect numbers with Ïƒ(n) = 2n, and abundant numbers with Ïƒ(n) > 2n. The natural numbers were first classified as either deficient, perfect or abundant byNicomachus in his Introductio Arithmetica (circa 100).

No because a abundant # is a number where the sum of its proper factors is greater than itself. 16 is not an abundant number because the sum of its proper factors is (15) less than itself.

That means that the sum of the number's factors, less than the number itself, is less than the number in question - in this case, if you add the factors of 15 (except 15 itself, which is also a factor of 15), you get a total that is less than 15.