Is 3003 a prime number?

3 003 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 3 003 is about 54.800.

Thus, the square root of 3 003 is not an integer, and therefore 3 003 is not a square number.

The square of a number (here 3 003) is the result of the product of this number (3 003) by itself (i.e., 3 003 × 3 003); the square of 3 003 is sometimes called "raising 3 003 to the power 2", or "3 003 squared".

The square of 3 003 is 9 018 009 because 3 003 × 3 003 = 3 003² = 9 018 009.

As a consequence, 3 003 is the square root of 9 018 009.

3 003 is a number with 4 digits.

The multiples of 3 003 are all integers evenly divisible by 3 003, that is all numbers such that the remainder of the division by 3 003 is zero. There are infinitely many multiples of 3 003. The smallest multiples of 3 003 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3 003 too, since 0 × 3 003 = 0
• 3 003: indeed, 3 003 is a multiple of itself, since 3 003 is evenly divisible by 3 003 (we have 3 003 / 3 003 = 1, so the remainder of this division is indeed zero)
• 6 006: indeed, 6 006 = 3 003 × 2
• 9 009: indeed, 9 009 = 3 003 × 3
• 12 012: indeed, 12 012 = 3 003 × 4
• 15 015: indeed, 15 015 = 3 003 × 5
• etc.

• Preceding numbers: …3 001, 3 002
• Following numbers: 3 004, 3 005…

Nearest numbers from 3 003

• Preceding prime number: 3 001
• Following prime number: 3 011

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• 3 003 est-il un nombre premier ?