Is 4481 a prime number? What are the divisors of 4481?

## Is 4481 a prime number?

Yes, 4481 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 4481, the only two divisors are 1 and 4481. Therefore 4481 is a prime number.

As a consequence, 4481 is only a multiple of 1 and 4481.

Since 4481 is a prime number, 4481 is also a deficient number, that is to say 4481 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4481 without 4481 itself (that is 1, by definition!).

## Parity of 4481

4481 is an odd number, because it is not evenly divisible by 2.

## Is 4481 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 4481 is about 66.940.

Thus, the square root of 4481 is not an integer, and therefore 4481 is not a square number.

Anyway, 4481 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4481?

The square of a number (here 4481) is the result of the product of this number (4481) by itself (i.e., 4481 × 4481); the square of 4481 is sometimes called "raising 4481 to the power 2", or "4481 squared".

The square of 4481 is 20 079 361 because 4481 × 4481 = 44812 = 20 079 361.

As a consequence, 4481 is the square root of 20 079 361.

## Number of digits of 4481

4481 is a number with 4 digits.

## What are the multiples of 4481?

The multiples of 4481 are all integers evenly divisible by 4481, that is all numbers such that the remainder of the division by 4481 is zero. There are infinitely many multiples of 4481. The smallest multiples of 4481 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4481 too, since 0 × 4481 = 0
• 4481: indeed, 4481 is a multiple of itself, since 4481 is evenly divisible by 4481 (we have 4481 / 4481 = 1, so the remainder of this division is indeed zero)
• 8 962: indeed, 8 962 = 4481 × 2
• 13 443: indeed, 13 443 = 4481 × 3
• 17 924: indeed, 17 924 = 4481 × 4
• 22 405: indeed, 22 405 = 4481 × 5
• etc.

## Nearest numbers from 4481

Find out whether some integer is a prime number