Is 3067 a prime number? What are the divisors of 3067?

Is 3067 a prime number?

Yes, 3067 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 3067, the only two divisors are 1 and 3067. Therefore 3067 is a prime number.

As a consequence, 3067 is only a multiple of 1 and 3067.

Since 3067 is a prime number, 3067 is also a deficient number, that is to say 3067 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3067 without 3067 itself (that is 1, by definition!).

Parity of 3067

3067 is an odd number, because it is not evenly divisible by 2.

Is 3067 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 3067 is about 55.381.

Thus, the square root of 3067 is not an integer, and therefore 3067 is not a square number.

Anyway, 3067 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 3067?

The square of a number (here 3067) is the result of the product of this number (3067) by itself (i.e., 3067 × 3067); the square of 3067 is sometimes called "raising 3067 to the power 2", or "3067 squared".

The square of 3067 is 9 406 489 because 3067 × 3067 = 30672 = 9 406 489.

As a consequence, 3067 is the square root of 9 406 489.

Number of digits of 3067

3067 is a number with 4 digits.

What are the multiples of 3067?

The multiples of 3067 are all integers evenly divisible by 3067, that is all numbers such that the remainder of the division by 3067 is zero. There are infinitely many multiples of 3067. The smallest multiples of 3067 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3067 too, since 0 × 3067 = 0
  • 3067: indeed, 3067 is a multiple of itself, since 3067 is evenly divisible by 3067 (we have 3067 / 3067 = 1, so the remainder of this division is indeed zero)
  • 6 134: indeed, 6 134 = 3067 × 2
  • 9 201: indeed, 9 201 = 3067 × 3
  • 12 268: indeed, 12 268 = 3067 × 4
  • 15 335: indeed, 15 335 = 3067 × 5
  • etc.

Numbers near 3067

Nearest numbers from 3067

Find out whether some integer is a prime number