Is 6073 a prime number? What are the divisors of 6073?

## Is 6073 a prime number?

Yes, 6073 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 6073, the only two divisors are 1 and 6073. Therefore 6073 is a prime number.

As a consequence, 6073 is only a multiple of 1 and 6073.

Since 6073 is a prime number, 6073 is also a deficient number, that is to say 6073 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6073 without 6073 itself (that is 1, by definition!).

## Parity of 6073

6073 is an odd number, because it is not evenly divisible by 2.

## Is 6073 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 6073 is about 77.929.

Thus, the square root of 6073 is not an integer, and therefore 6073 is not a square number.

Anyway, 6073 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6073?

The square of a number (here 6073) is the result of the product of this number (6073) by itself (i.e., 6073 × 6073); the square of 6073 is sometimes called "raising 6073 to the power 2", or "6073 squared".

The square of 6073 is 36 881 329 because 6073 × 6073 = 60732 = 36 881 329.

As a consequence, 6073 is the square root of 36 881 329.

## Number of digits of 6073

6073 is a number with 4 digits.

## What are the multiples of 6073?

The multiples of 6073 are all integers evenly divisible by 6073, that is all numbers such that the remainder of the division by 6073 is zero. There are infinitely many multiples of 6073. The smallest multiples of 6073 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6073 too, since 0 × 6073 = 0
• 6073: indeed, 6073 is a multiple of itself, since 6073 is evenly divisible by 6073 (we have 6073 / 6073 = 1, so the remainder of this division is indeed zero)
• 12 146: indeed, 12 146 = 6073 × 2
• 18 219: indeed, 18 219 = 6073 × 3
• 24 292: indeed, 24 292 = 6073 × 4
• 30 365: indeed, 30 365 = 6073 × 5
• etc.

## Nearest numbers from 6073

Find out whether some integer is a prime number