Is 3001 a prime number?

3 001 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even 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 3 001 is about 54.781.

Thus, the square root of 3 001 is not an integer, and therefore 3 001 is not a square number.

Anyway, 3 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 3 001) is the result of the product of this number (3 001) by itself (i.e., 3 001 × 3 001); the square of 3 001 is sometimes called "raising 3 001 to the power 2", or "3 001 squared".

The square of 3 001 is 9 006 001 because 3 001 × 3 001 = 3 001² = 9 006 001.

As a consequence, 3 001 is the square root of 9 006 001.

3 001 is a number with 4 digits.

The multiples of 3 001 are all integers evenly divisible by 3 001, that is all numbers such that the remainder of the division by 3 001 is zero. There are infinitely many multiples of 3 001. The smallest multiples of 3 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3 001 too, since 0 × 3 001 = 0
• 3 001: indeed, 3 001 is a multiple of itself, since 3 001 is evenly divisible by 3 001 (we have 3 001 / 3 001 = 1, so the remainder of this division is indeed zero)
• 6 002: indeed, 6 002 = 3 001 × 2
• 9 003: indeed, 9 003 = 3 001 × 3
• 12 004: indeed, 12 004 = 3 001 × 4
• 15 005: indeed, 15 005 = 3 001 × 5
• etc.

• Preceding numbers: …2 999, 3 000
• Following numbers: 3 002, 3 003…

Nearest numbers from 3 001

• Preceding prime number: 2 999
• Following prime number: 3 011

• Is 0 a prime number?
• Is 1 a prime number?
• Is 2 a prime number?
• Is 2024 a prime number?
• Is 2025 a prime number?
• Is 744 a prime number?

• Five thousand prime numbers

• Contact

• 3 001 est-il un nombre premier ?