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# What is a number less than 1 whose only divisors are 1 and itself?

Updated: 9/20/2023

Wiki User

12y ago

There are no numbers that fit your description.

Wiki User

12y ago

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Q: What is a number less than 1 whose only divisors are 1 and itself?
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### 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.

### 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 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 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.

### 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.

### 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 &sigma;(n) &lt; 2n. Here &sigma;(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&lt;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.

36

### What does abundant number mean?

an abundant number is less than the sum of its proper divisors

### List all abundant numbers 1 to 49?

An abundant number is any natural number (starting from 1) that is less than the sum of all its divisors excepting itself (the set of "all its divisors excepting itself" is also known as the set of its "proper divisors"). The lowest abundant number is twelve, and the first nine (all of those between one and fourty-nine, inclusive) are: 12 18 20 24 30 36 40 42 48