Is 11731 a prime number? What are the divisors of 11731?

## Is 11731 a prime number?

Yes, 11731 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 11731, the only two divisors are 1 and 11731. Therefore 11731 is a prime number.

As a consequence, 11731 is only a multiple of 1 and 11731.

Since 11731 is a prime number, 11731 is also a deficient number, that is to say 11731 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 11731 without 11731 itself (that is 1, by definition!).

## Parity of 11731

11731 is an odd number, because it is not evenly divisible by 2.

## Is 11731 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 11731 is about 108.310.

Thus, the square root of 11731 is not an integer, and therefore 11731 is not a square number.

Anyway, 11731 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 11731?

The square of a number (here 11731) is the result of the product of this number (11731) by itself (i.e., 11731 × 11731); the square of 11731 is sometimes called "raising 11731 to the power 2", or "11731 squared".

The square of 11731 is 137 616 361 because 11731 × 11731 = 117312 = 137 616 361.

As a consequence, 11731 is the square root of 137 616 361.

## Number of digits of 11731

11731 is a number with 5 digits.

## What are the multiples of 11731?

The multiples of 11731 are all integers evenly divisible by 11731, that is all numbers such that the remainder of the division by 11731 is zero. There are infinitely many multiples of 11731. The smallest multiples of 11731 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 11731 too, since 0 × 11731 = 0
• 11731: indeed, 11731 is a multiple of itself, since 11731 is evenly divisible by 11731 (we have 11731 / 11731 = 1, so the remainder of this division is indeed zero)
• 23 462: indeed, 23 462 = 11731 × 2
• 35 193: indeed, 35 193 = 11731 × 3
• 46 924: indeed, 46 924 = 11731 × 4
• 58 655: indeed, 58 655 = 11731 × 5
• etc.

## Nearest numbers from 11731

Find out whether some integer is a prime number