Is 5741 a prime number? What are the divisors of 5741?

## Is 5741 a prime number?

Yes, 5741 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 5741, the only two divisors are 1 and 5741. Therefore 5741 is a prime number.

As a consequence, 5741 is only a multiple of 1 and 5741.

Since 5741 is a prime number, 5741 is also a deficient number, that is to say 5741 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5741 without 5741 itself (that is 1, by definition!).

## Parity of 5741

5741 is an odd number, because it is not evenly divisible by 2.

## Is 5741 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 5741 is about 75.769.

Thus, the square root of 5741 is not an integer, and therefore 5741 is not a square number.

Anyway, 5741 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5741?

The square of a number (here 5741) is the result of the product of this number (5741) by itself (i.e., 5741 × 5741); the square of 5741 is sometimes called "raising 5741 to the power 2", or "5741 squared".

The square of 5741 is 32 959 081 because 5741 × 5741 = 57412 = 32 959 081.

As a consequence, 5741 is the square root of 32 959 081.

## Number of digits of 5741

5741 is a number with 4 digits.

## What are the multiples of 5741?

The multiples of 5741 are all integers evenly divisible by 5741, that is all numbers such that the remainder of the division by 5741 is zero. There are infinitely many multiples of 5741. The smallest multiples of 5741 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5741 too, since 0 × 5741 = 0
• 5741: indeed, 5741 is a multiple of itself, since 5741 is evenly divisible by 5741 (we have 5741 / 5741 = 1, so the remainder of this division is indeed zero)
• 11 482: indeed, 11 482 = 5741 × 2
• 17 223: indeed, 17 223 = 5741 × 3
• 22 964: indeed, 22 964 = 5741 × 4
• 28 705: indeed, 28 705 = 5741 × 5
• etc.

## Nearest numbers from 5741

Find out whether some integer is a prime number