Is 2006 a prime number?

2 006 is an even number, because it is evenly divisible by 2: 2 006 / 2 = 1 003.

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• 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 2 006 is about 44.788.

Thus, the square root of 2 006 is not an integer, and therefore 2 006 is not a square number.

The square of a number (here 2 006) is the result of the product of this number (2 006) by itself (i.e., 2 006 × 2 006); the square of 2 006 is sometimes called "raising 2 006 to the power 2", or "2 006 squared".

The square of 2 006 is 4 024 036 because 2 006 × 2 006 = 2 006² = 4 024 036.

As a consequence, 2 006 is the square root of 4 024 036.

2 006 is a number with 4 digits.

The multiples of 2 006 are all integers evenly divisible by 2 006, that is all numbers such that the remainder of the division by 2 006 is zero. There are infinitely many multiples of 2 006. The smallest multiples of 2 006 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 006 too, since 0 × 2 006 = 0
• 2 006: indeed, 2 006 is a multiple of itself, since 2 006 is evenly divisible by 2 006 (we have 2 006 / 2 006 = 1, so the remainder of this division is indeed zero)
• 4 012: indeed, 4 012 = 2 006 × 2
• 6 018: indeed, 6 018 = 2 006 × 3
• 8 024: indeed, 8 024 = 2 006 × 4
• 10 030: indeed, 10 030 = 2 006 × 5
• etc.

• Preceding numbers: …2 004, 2 005
• Following numbers: 2 007, 2 008…

Nearest numbers from 2 006

• Preceding prime number: 2 003
• Following prime number: 2 011

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• 2 006 est-il un nombre premier ?