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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.


Is the number 95 abundant?

A number is considered abundant if the sum of its proper divisors (excluding itself) is greater than the number itself. For 95, the proper divisors are 1, 5, and 19, which sum to 25. Since 25 is less than 95, the number 95 is not abundant.


What number has nine divisors and is less than forty?

The number you are seeking is 36. The divisors are - 36,1,18,2,12,3,9,4,6.


Is 65 abundant or deficient?

The number 65 is classified as a deficient number. A deficient number is one for which the sum of its proper divisors is less than the number itself. The proper divisors of 65 are 1, 5, and 13, which sum to 19, significantly less than 65. Therefore, 65 is considered deficient.


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.

Related Questions

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 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.


What is a defective number?

Also called a deficient number, it is a number for which the sum of the proper divisors is less than the number itself.


Is the number 95 abundant?

A number is considered abundant if the sum of its proper divisors (excluding itself) is greater than the number itself. For 95, the proper divisors are 1, 5, and 19, which sum to 25. Since 25 is less than 95, the number 95 is not abundant.


Is four a deficient number?

Yes, since the sum of its proper divisors (1 + 2 = 3) is less than the number (4) itself.


What number has nine divisors and is less than forty?

The number you are seeking is 36. The divisors are - 36,1,18,2,12,3,9,4,6.


Is 65 abundant or deficient?

The number 65 is classified as a deficient number. A deficient number is one for which the sum of its proper divisors is less than the number itself. The proper divisors of 65 are 1, 5, and 13, which sum to 19, significantly less than 65. Therefore, 65 is considered deficient.


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 8589869056 a perfect number?

8589869056 is not a perfect number. A perfect number is a positive integer that is equal to the sum of its proper divisors, excluding itself. In the case of 8589869056, the sum of its proper divisors is less than the number itself, making it an abundant number, not a perfect number.


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


Why is 35 deficient is it because its greater to the submultiple of all positive integers?

35 is a deficient number because the sum of its proper divisors is less than the number itself.


Is 44 an abundant number?

No. It's proper divisors, which are 1, 2, 4, 11 and 22, when added together are less than 44 itself.