Is 6991 a prime number? What are the divisors of 6991?

## Is 6991 a prime number?

Yes, 6991 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 6991, the only two divisors are 1 and 6991. Therefore 6991 is a prime number.

As a consequence, 6991 is only a multiple of 1 and 6991.

Since 6991 is a prime number, 6991 is also a deficient number, that is to say 6991 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6991 without 6991 itself (that is 1, by definition!).

## Parity of 6991

6991 is an odd number, because it is not evenly divisible by 2.

## Is 6991 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 6991 is about 83.612.

Thus, the square root of 6991 is not an integer, and therefore 6991 is not a square number.

Anyway, 6991 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6991?

The square of a number (here 6991) is the result of the product of this number (6991) by itself (i.e., 6991 × 6991); the square of 6991 is sometimes called "raising 6991 to the power 2", or "6991 squared".

The square of 6991 is 48 874 081 because 6991 × 6991 = 69912 = 48 874 081.

As a consequence, 6991 is the square root of 48 874 081.

## Number of digits of 6991

6991 is a number with 4 digits.

## What are the multiples of 6991?

The multiples of 6991 are all integers evenly divisible by 6991, that is all numbers such that the remainder of the division by 6991 is zero. There are infinitely many multiples of 6991. The smallest multiples of 6991 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6991 too, since 0 × 6991 = 0
• 6991: indeed, 6991 is a multiple of itself, since 6991 is evenly divisible by 6991 (we have 6991 / 6991 = 1, so the remainder of this division is indeed zero)
• 13 982: indeed, 13 982 = 6991 × 2
• 20 973: indeed, 20 973 = 6991 × 3
• 27 964: indeed, 27 964 = 6991 × 4
• 34 955: indeed, 34 955 = 6991 × 5
• etc.

## Nearest numbers from 6991

Find out whether some integer is a prime number