Is 4673 a prime number? What are the divisors of 4673?

## Is 4673 a prime number?

Yes, 4673 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 4673, the only two divisors are 1 and 4673. Therefore 4673 is a prime number.

As a consequence, 4673 is only a multiple of 1 and 4673.

Since 4673 is a prime number, 4673 is also a deficient number, that is to say 4673 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 4673 without 4673 itself (that is 1, by definition!).

## Parity of 4673

4673 is an odd number, because it is not evenly divisible by 2.

## Is 4673 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 4673 is about 68.359.

Thus, the square root of 4673 is not an integer, and therefore 4673 is not a square number.

Anyway, 4673 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 4673?

The square of a number (here 4673) is the result of the product of this number (4673) by itself (i.e., 4673 × 4673); the square of 4673 is sometimes called "raising 4673 to the power 2", or "4673 squared".

The square of 4673 is 21 836 929 because 4673 × 4673 = 46732 = 21 836 929.

As a consequence, 4673 is the square root of 21 836 929.

## Number of digits of 4673

4673 is a number with 4 digits.

## What are the multiples of 4673?

The multiples of 4673 are all integers evenly divisible by 4673, that is all numbers such that the remainder of the division by 4673 is zero. There are infinitely many multiples of 4673. The smallest multiples of 4673 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4673 too, since 0 × 4673 = 0
• 4673: indeed, 4673 is a multiple of itself, since 4673 is evenly divisible by 4673 (we have 4673 / 4673 = 1, so the remainder of this division is indeed zero)
• 9 346: indeed, 9 346 = 4673 × 2
• 14 019: indeed, 14 019 = 4673 × 3
• 18 692: indeed, 18 692 = 4673 × 4
• 23 365: indeed, 23 365 = 4673 × 5
• etc.

## Nearest numbers from 4673

Find out whether some integer is a prime number