Is 4441 a prime number? What are the divisors of 4441?

## Is 4441 a prime number?

Yes, 4441 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 4441, the only two divisors are 1 and 4441. Therefore 4441 is a prime number.

As a consequence, 4441 is only a multiple of 1 and 4441.

Since 4441 is a prime number, 4441 is also a deficient number, that is to say 4441 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4441 without 4441 itself (that is 1, by definition!).

## Parity of 4441

4441 is an odd number, because it is not evenly divisible by 2.

## Is 4441 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 4441 is about 66.641.

Thus, the square root of 4441 is not an integer, and therefore 4441 is not a square number.

Anyway, 4441 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4441?

The square of a number (here 4441) is the result of the product of this number (4441) by itself (i.e., 4441 × 4441); the square of 4441 is sometimes called "raising 4441 to the power 2", or "4441 squared".

The square of 4441 is 19 722 481 because 4441 × 4441 = 44412 = 19 722 481.

As a consequence, 4441 is the square root of 19 722 481.

## Number of digits of 4441

4441 is a number with 4 digits.

## What are the multiples of 4441?

The multiples of 4441 are all integers evenly divisible by 4441, that is all numbers such that the remainder of the division by 4441 is zero. There are infinitely many multiples of 4441. The smallest multiples of 4441 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4441 too, since 0 × 4441 = 0
• 4441: indeed, 4441 is a multiple of itself, since 4441 is evenly divisible by 4441 (we have 4441 / 4441 = 1, so the remainder of this division is indeed zero)
• 8 882: indeed, 8 882 = 4441 × 2
• 13 323: indeed, 13 323 = 4441 × 3
• 17 764: indeed, 17 764 = 4441 × 4
• 22 205: indeed, 22 205 = 4441 × 5
• etc.

## Nearest numbers from 4441

Find out whether some integer is a prime number