Is 5441 a prime number? What are the divisors of 5441?

## Is 5441 a prime number?

Yes, 5441 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 5441, the only two divisors are 1 and 5441. Therefore 5441 is a prime number.

As a consequence, 5441 is only a multiple of 1 and 5441.

Since 5441 is a prime number, 5441 is also a deficient number, that is to say 5441 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 5441 without 5441 itself (that is 1, by definition!).

## Parity of 5441

5441 is an odd number, because it is not evenly divisible by 2.

## Is 5441 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 5441 is about 73.763.

Thus, the square root of 5441 is not an integer, and therefore 5441 is not a square number.

Anyway, 5441 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 5441?

The square of a number (here 5441) is the result of the product of this number (5441) by itself (i.e., 5441 × 5441); the square of 5441 is sometimes called "raising 5441 to the power 2", or "5441 squared".

The square of 5441 is 29 604 481 because 5441 × 5441 = 54412 = 29 604 481.

As a consequence, 5441 is the square root of 29 604 481.

## Number of digits of 5441

5441 is a number with 4 digits.

## What are the multiples of 5441?

The multiples of 5441 are all integers evenly divisible by 5441, that is all numbers such that the remainder of the division by 5441 is zero. There are infinitely many multiples of 5441. The smallest multiples of 5441 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5441 too, since 0 × 5441 = 0
• 5441: indeed, 5441 is a multiple of itself, since 5441 is evenly divisible by 5441 (we have 5441 / 5441 = 1, so the remainder of this division is indeed zero)
• 10 882: indeed, 10 882 = 5441 × 2
• 16 323: indeed, 16 323 = 5441 × 3
• 21 764: indeed, 21 764 = 5441 × 4
• 27 205: indeed, 27 205 = 5441 × 5
• etc.

## Nearest numbers from 5441

Find out whether some integer is a prime number