Is 8731 a prime number? What are the divisors of 8731?

## Is 8731 a prime number?

Yes, 8731 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 8731, the only two divisors are 1 and 8731. Therefore 8731 is a prime number.

As a consequence, 8731 is only a multiple of 1 and 8731.

Since 8731 is a prime number, 8731 is also a deficient number, that is to say 8731 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 8731 without 8731 itself (that is 1, by definition!).

## Parity of 8731

8731 is an odd number, because it is not evenly divisible by 2.

## Is 8731 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 8731 is about 93.440.

Thus, the square root of 8731 is not an integer, and therefore 8731 is not a square number.

Anyway, 8731 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 8731?

The square of a number (here 8731) is the result of the product of this number (8731) by itself (i.e., 8731 × 8731); the square of 8731 is sometimes called "raising 8731 to the power 2", or "8731 squared".

The square of 8731 is 76 230 361 because 8731 × 8731 = 87312 = 76 230 361.

As a consequence, 8731 is the square root of 76 230 361.

## Number of digits of 8731

8731 is a number with 4 digits.

## What are the multiples of 8731?

The multiples of 8731 are all integers evenly divisible by 8731, that is all numbers such that the remainder of the division by 8731 is zero. There are infinitely many multiples of 8731. The smallest multiples of 8731 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 8731 too, since 0 × 8731 = 0
• 8731: indeed, 8731 is a multiple of itself, since 8731 is evenly divisible by 8731 (we have 8731 / 8731 = 1, so the remainder of this division is indeed zero)
• 17 462: indeed, 17 462 = 8731 × 2
• 26 193: indeed, 26 193 = 8731 × 3
• 34 924: indeed, 34 924 = 8731 × 4
• 43 655: indeed, 43 655 = 8731 × 5
• etc.

## Nearest numbers from 8731

Find out whether some integer is a prime number