Is 2741 a prime number? What are the divisors of 2741?

## Is 2741 a prime number?

Yes, 2741 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 2741, the only two divisors are 1 and 2741. Therefore 2741 is a prime number.

As a consequence, 2741 is only a multiple of 1 and 2741.

Since 2741 is a prime number, 2741 is also a deficient number, that is to say 2741 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2741 without 2741 itself (that is 1, by definition!).

## Parity of 2741

2741 is an odd number, because it is not evenly divisible by 2.

## Is 2741 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 2741 is about 52.355.

Thus, the square root of 2741 is not an integer, and therefore 2741 is not a square number.

Anyway, 2741 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2741?

The square of a number (here 2741) is the result of the product of this number (2741) by itself (i.e., 2741 × 2741); the square of 2741 is sometimes called "raising 2741 to the power 2", or "2741 squared".

The square of 2741 is 7 513 081 because 2741 × 2741 = 27412 = 7 513 081.

As a consequence, 2741 is the square root of 7 513 081.

## Number of digits of 2741

2741 is a number with 4 digits.

## What are the multiples of 2741?

The multiples of 2741 are all integers evenly divisible by 2741, that is all numbers such that the remainder of the division by 2741 is zero. There are infinitely many multiples of 2741. The smallest multiples of 2741 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2741 too, since 0 × 2741 = 0
• 2741: indeed, 2741 is a multiple of itself, since 2741 is evenly divisible by 2741 (we have 2741 / 2741 = 1, so the remainder of this division is indeed zero)
• 5 482: indeed, 5 482 = 2741 × 2
• 8 223: indeed, 8 223 = 2741 × 3
• 10 964: indeed, 10 964 = 2741 × 4
• 13 705: indeed, 13 705 = 2741 × 5
• etc.

## Nearest numbers from 2741

Find out whether some integer is a prime number