Is 2731 a prime number? What are the divisors of 2731?

## Is 2731 a prime number?

Yes, 2731 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 2731, the only two divisors are 1 and 2731. Therefore 2731 is a prime number.

As a consequence, 2731 is only a multiple of 1 and 2731.

Since 2731 is a prime number, 2731 is also a deficient number, that is to say 2731 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2731 without 2731 itself (that is 1, by definition!).

## Parity of 2731

2731 is an odd number, because it is not evenly divisible by 2.

## Is 2731 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 2731 is about 52.259.

Thus, the square root of 2731 is not an integer, and therefore 2731 is not a square number.

Anyway, 2731 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2731?

The square of a number (here 2731) is the result of the product of this number (2731) by itself (i.e., 2731 × 2731); the square of 2731 is sometimes called "raising 2731 to the power 2", or "2731 squared".

The square of 2731 is 7 458 361 because 2731 × 2731 = 27312 = 7 458 361.

As a consequence, 2731 is the square root of 7 458 361.

## Number of digits of 2731

2731 is a number with 4 digits.

## What are the multiples of 2731?

The multiples of 2731 are all integers evenly divisible by 2731, that is all numbers such that the remainder of the division by 2731 is zero. There are infinitely many multiples of 2731. The smallest multiples of 2731 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2731 too, since 0 × 2731 = 0
• 2731: indeed, 2731 is a multiple of itself, since 2731 is evenly divisible by 2731 (we have 2731 / 2731 = 1, so the remainder of this division is indeed zero)
• 5 462: indeed, 5 462 = 2731 × 2
• 8 193: indeed, 8 193 = 2731 × 3
• 10 924: indeed, 10 924 = 2731 × 4
• 13 655: indeed, 13 655 = 2731 × 5
• etc.

## Nearest numbers from 2731

Find out whether some integer is a prime number