Is 2441 a prime number? What are the divisors of 2441?

## Is 2441 a prime number?

Yes, 2441 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 2441, the only two divisors are 1 and 2441. Therefore 2441 is a prime number.

As a consequence, 2441 is only a multiple of 1 and 2441.

Since 2441 is a prime number, 2441 is also a deficient number, that is to say 2441 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2441 without 2441 itself (that is 1, by definition!).

## Parity of 2441

2441 is an odd number, because it is not evenly divisible by 2.

## Is 2441 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 2441 is about 49.406.

Thus, the square root of 2441 is not an integer, and therefore 2441 is not a square number.

Anyway, 2441 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2441?

The square of a number (here 2441) is the result of the product of this number (2441) by itself (i.e., 2441 × 2441); the square of 2441 is sometimes called "raising 2441 to the power 2", or "2441 squared".

The square of 2441 is 5 958 481 because 2441 × 2441 = 24412 = 5 958 481.

As a consequence, 2441 is the square root of 5 958 481.

## Number of digits of 2441

2441 is a number with 4 digits.

## What are the multiples of 2441?

The multiples of 2441 are all integers evenly divisible by 2441, that is all numbers such that the remainder of the division by 2441 is zero. There are infinitely many multiples of 2441. The smallest multiples of 2441 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2441 too, since 0 × 2441 = 0
• 2441: indeed, 2441 is a multiple of itself, since 2441 is evenly divisible by 2441 (we have 2441 / 2441 = 1, so the remainder of this division is indeed zero)
• 4 882: indeed, 4 882 = 2441 × 2
• 7 323: indeed, 7 323 = 2441 × 3
• 9 764: indeed, 9 764 = 2441 × 4
• 12 205: indeed, 12 205 = 2441 × 5
• etc.

## Nearest numbers from 2441

Find out whether some integer is a prime number