Is 3011 a prime number? What are the divisors of 3011?

## Is 3011 a prime number?

Yes, 3011 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 3011, the only two divisors are 1 and 3011. Therefore 3011 is a prime number.

As a consequence, 3011 is only a multiple of 1 and 3011.

Since 3011 is a prime number, 3011 is also a deficient number, that is to say 3011 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3011 without 3011 itself (that is 1, by definition!).

## Parity of 3011

3011 is an odd number, because it is not evenly divisible by 2.

## Is 3011 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 3011 is about 54.873.

Thus, the square root of 3011 is not an integer, and therefore 3011 is not a square number.

Anyway, 3011 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3011?

The square of a number (here 3011) is the result of the product of this number (3011) by itself (i.e., 3011 × 3011); the square of 3011 is sometimes called "raising 3011 to the power 2", or "3011 squared".

The square of 3011 is 9 066 121 because 3011 × 3011 = 30112 = 9 066 121.

As a consequence, 3011 is the square root of 9 066 121.

## Number of digits of 3011

3011 is a number with 4 digits.

## What are the multiples of 3011?

The multiples of 3011 are all integers evenly divisible by 3011, that is all numbers such that the remainder of the division by 3011 is zero. There are infinitely many multiples of 3011. The smallest multiples of 3011 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3011 too, since 0 × 3011 = 0
• 3011: indeed, 3011 is a multiple of itself, since 3011 is evenly divisible by 3011 (we have 3011 / 3011 = 1, so the remainder of this division is indeed zero)
• 6 022: indeed, 6 022 = 3011 × 2
• 9 033: indeed, 9 033 = 3011 × 3
• 12 044: indeed, 12 044 = 3011 × 4
• 15 055: indeed, 15 055 = 3011 × 5
• etc.

## Nearest numbers from 3011

Find out whether some integer is a prime number