Is 2000003 a prime number?

2 000 003 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 2 000 003 is about 1 414.215.

Thus, the square root of 2 000 003 is not an integer, and therefore 2 000 003 is not a square number.

Anyway, 2 000 003 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 2 000 003) is the result of the product of this number (2 000 003) by itself (i.e., 2 000 003 × 2 000 003); the square of 2 000 003 is sometimes called "raising 2 000 003 to the power 2", or "2 000 003 squared".

The square of 2 000 003 is 4 000 012 000 009 because 2 000 003 × 2 000 003 = 2 000 003² = 4 000 012 000 009.

As a consequence, 2 000 003 is the square root of 4 000 012 000 009.

2 000 003 is a number with 7 digits.

The multiples of 2 000 003 are all integers evenly divisible by 2 000 003, that is all numbers such that the remainder of the division by 2 000 003 is zero. There are infinitely many multiples of 2 000 003. The smallest multiples of 2 000 003 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 000 003 too, since 0 × 2 000 003 = 0
• 2 000 003: indeed, 2 000 003 is a multiple of itself, since 2 000 003 is evenly divisible by 2 000 003 (we have 2 000 003 / 2 000 003 = 1, so the remainder of this division is indeed zero)
• 4 000 006: indeed, 4 000 006 = 2 000 003 × 2
• 6 000 009: indeed, 6 000 009 = 2 000 003 × 3
• 8 000 012: indeed, 8 000 012 = 2 000 003 × 4
• 10 000 015: indeed, 10 000 015 = 2 000 003 × 5
• etc.

• Preceding numbers: …2 000 001, 2 000 002
• Following numbers: 2 000 004, 2 000 005…

Nearest numbers from 2 000 003

• Preceding prime number: 1 999 993
• Following prime number: 2 000 029

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• 2 000 003 est-il un nombre premier ?