Is 4463 a prime number? What are the divisors of 4463?

## Is 4463 a prime number?

Yes, 4463 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 4463, the only two divisors are 1 and 4463. Therefore 4463 is a prime number.

As a consequence, 4463 is only a multiple of 1 and 4463.

Since 4463 is a prime number, 4463 is also a deficient number, that is to say 4463 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4463 without 4463 itself (that is 1, by definition!).

## Parity of 4463

4463 is an odd number, because it is not evenly divisible by 2.

## Is 4463 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 4463 is about 66.806.

Thus, the square root of 4463 is not an integer, and therefore 4463 is not a square number.

Anyway, 4463 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4463?

The square of a number (here 4463) is the result of the product of this number (4463) by itself (i.e., 4463 × 4463); the square of 4463 is sometimes called "raising 4463 to the power 2", or "4463 squared".

The square of 4463 is 19 918 369 because 4463 × 4463 = 44632 = 19 918 369.

As a consequence, 4463 is the square root of 19 918 369.

## Number of digits of 4463

4463 is a number with 4 digits.

## What are the multiples of 4463?

The multiples of 4463 are all integers evenly divisible by 4463, that is all numbers such that the remainder of the division by 4463 is zero. There are infinitely many multiples of 4463. The smallest multiples of 4463 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4463 too, since 0 × 4463 = 0
• 4463: indeed, 4463 is a multiple of itself, since 4463 is evenly divisible by 4463 (we have 4463 / 4463 = 1, so the remainder of this division is indeed zero)
• 8 926: indeed, 8 926 = 4463 × 2
• 13 389: indeed, 13 389 = 4463 × 3
• 17 852: indeed, 17 852 = 4463 × 4
• 22 315: indeed, 22 315 = 4463 × 5
• etc.

## Nearest numbers from 4463

Find out whether some integer is a prime number