Is 6007 a prime number? What are the divisors of 6007?

## Is 6007 a prime number?

Yes, 6007 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 6007, the only two divisors are 1 and 6007. Therefore 6007 is a prime number.

As a consequence, 6007 is only a multiple of 1 and 6007.

Since 6007 is a prime number, 6007 is also a deficient number, that is to say 6007 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 6007 without 6007 itself (that is 1, by definition!).

## Parity of 6007

6007 is an odd number, because it is not evenly divisible by 2.

## Is 6007 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 6007 is about 77.505.

Thus, the square root of 6007 is not an integer, and therefore 6007 is not a square number.

Anyway, 6007 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 6007?

The square of a number (here 6007) is the result of the product of this number (6007) by itself (i.e., 6007 × 6007); the square of 6007 is sometimes called "raising 6007 to the power 2", or "6007 squared".

The square of 6007 is 36 084 049 because 6007 × 6007 = 60072 = 36 084 049.

As a consequence, 6007 is the square root of 36 084 049.

## Number of digits of 6007

6007 is a number with 4 digits.

## What are the multiples of 6007?

The multiples of 6007 are all integers evenly divisible by 6007, that is all numbers such that the remainder of the division by 6007 is zero. There are infinitely many multiples of 6007. The smallest multiples of 6007 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6007 too, since 0 × 6007 = 0
• 6007: indeed, 6007 is a multiple of itself, since 6007 is evenly divisible by 6007 (we have 6007 / 6007 = 1, so the remainder of this division is indeed zero)
• 12 014: indeed, 12 014 = 6007 × 2
• 18 021: indeed, 18 021 = 6007 × 3
• 24 028: indeed, 24 028 = 6007 × 4
• 30 035: indeed, 30 035 = 6007 × 5
• etc.

## Nearest numbers from 6007

Find out whether some integer is a prime number