Is 7013 a prime number? What are the divisors of 7013?

## Is 7013 a prime number?

Yes, 7013 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 7013, the only two divisors are 1 and 7013. Therefore 7013 is a prime number.

As a consequence, 7013 is only a multiple of 1 and 7013.

Since 7013 is a prime number, 7013 is also a deficient number, that is to say 7013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7013 without 7013 itself (that is 1, by definition!).

## Parity of 7013

7013 is an odd number, because it is not evenly divisible by 2.

## Is 7013 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 7013 is about 83.744.

Thus, the square root of 7013 is not an integer, and therefore 7013 is not a square number.

Anyway, 7013 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7013?

The square of a number (here 7013) is the result of the product of this number (7013) by itself (i.e., 7013 × 7013); the square of 7013 is sometimes called "raising 7013 to the power 2", or "7013 squared".

The square of 7013 is 49 182 169 because 7013 × 7013 = 70132 = 49 182 169.

As a consequence, 7013 is the square root of 49 182 169.

## Number of digits of 7013

7013 is a number with 4 digits.

## What are the multiples of 7013?

The multiples of 7013 are all integers evenly divisible by 7013, that is all numbers such that the remainder of the division by 7013 is zero. There are infinitely many multiples of 7013. The smallest multiples of 7013 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7013 too, since 0 × 7013 = 0
• 7013: indeed, 7013 is a multiple of itself, since 7013 is evenly divisible by 7013 (we have 7013 / 7013 = 1, so the remainder of this division is indeed zero)
• 14 026: indeed, 14 026 = 7013 × 2
• 21 039: indeed, 21 039 = 7013 × 3
• 28 052: indeed, 28 052 = 7013 × 4
• 35 065: indeed, 35 065 = 7013 × 5
• etc.

## Nearest numbers from 7013

Find out whether some integer is a prime number