Is 4421 a prime number? What are the divisors of 4421?

## Is 4421 a prime number?

Yes, 4421 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 4421, the only two divisors are 1 and 4421. Therefore 4421 is a prime number.

As a consequence, 4421 is only a multiple of 1 and 4421.

Since 4421 is a prime number, 4421 is also a deficient number, that is to say 4421 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4421 without 4421 itself (that is 1, by definition!).

## Parity of 4421

4421 is an odd number, because it is not evenly divisible by 2.

## Is 4421 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 4421 is about 66.491.

Thus, the square root of 4421 is not an integer, and therefore 4421 is not a square number.

Anyway, 4421 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4421?

The square of a number (here 4421) is the result of the product of this number (4421) by itself (i.e., 4421 × 4421); the square of 4421 is sometimes called "raising 4421 to the power 2", or "4421 squared".

The square of 4421 is 19 545 241 because 4421 × 4421 = 44212 = 19 545 241.

As a consequence, 4421 is the square root of 19 545 241.

## Number of digits of 4421

4421 is a number with 4 digits.

## What are the multiples of 4421?

The multiples of 4421 are all integers evenly divisible by 4421, that is all numbers such that the remainder of the division by 4421 is zero. There are infinitely many multiples of 4421. The smallest multiples of 4421 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4421 too, since 0 × 4421 = 0
• 4421: indeed, 4421 is a multiple of itself, since 4421 is evenly divisible by 4421 (we have 4421 / 4421 = 1, so the remainder of this division is indeed zero)
• 8 842: indeed, 8 842 = 4421 × 2
• 13 263: indeed, 13 263 = 4421 × 3
• 17 684: indeed, 17 684 = 4421 × 4
• 22 105: indeed, 22 105 = 4421 × 5
• etc.

## Nearest numbers from 4421

Find out whether some integer is a prime number