Is 3061 a prime number? What are the divisors of 3061?

## Is 3061 a prime number?

Yes, 3061 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 3061, the only two divisors are 1 and 3061. Therefore 3061 is a prime number.

As a consequence, 3061 is only a multiple of 1 and 3061.

Since 3061 is a prime number, 3061 is also a deficient number, that is to say 3061 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3061 without 3061 itself (that is 1, by definition!).

## Parity of 3061

3061 is an odd number, because it is not evenly divisible by 2.

## Is 3061 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 3061 is about 55.326.

Thus, the square root of 3061 is not an integer, and therefore 3061 is not a square number.

Anyway, 3061 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3061?

The square of a number (here 3061) is the result of the product of this number (3061) by itself (i.e., 3061 × 3061); the square of 3061 is sometimes called "raising 3061 to the power 2", or "3061 squared".

The square of 3061 is 9 369 721 because 3061 × 3061 = 30612 = 9 369 721.

As a consequence, 3061 is the square root of 9 369 721.

## Number of digits of 3061

3061 is a number with 4 digits.

## What are the multiples of 3061?

The multiples of 3061 are all integers evenly divisible by 3061, that is all numbers such that the remainder of the division by 3061 is zero. There are infinitely many multiples of 3061. The smallest multiples of 3061 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3061 too, since 0 × 3061 = 0
• 3061: indeed, 3061 is a multiple of itself, since 3061 is evenly divisible by 3061 (we have 3061 / 3061 = 1, so the remainder of this division is indeed zero)
• 6 122: indeed, 6 122 = 3061 × 2
• 9 183: indeed, 9 183 = 3061 × 3
• 12 244: indeed, 12 244 = 3061 × 4
• 15 305: indeed, 15 305 = 3061 × 5
• etc.

## Nearest numbers from 3061

Find out whether some integer is a prime number