Is 3006 a prime number?

3 006 is an even number, because it is evenly divisible by 2: 3 006 / 2 = 1 503.

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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 3 006 is about 54.827.

Thus, the square root of 3 006 is not an integer, and therefore 3 006 is not a square number.

The square of a number (here 3 006) is the result of the product of this number (3 006) by itself (i.e., 3 006 × 3 006); the square of 3 006 is sometimes called "raising 3 006 to the power 2", or "3 006 squared".

The square of 3 006 is 9 036 036 because 3 006 × 3 006 = 3 006² = 9 036 036.

As a consequence, 3 006 is the square root of 9 036 036.

3 006 is a number with 4 digits.

The multiples of 3 006 are all integers evenly divisible by 3 006, that is all numbers such that the remainder of the division by 3 006 is zero. There are infinitely many multiples of 3 006. The smallest multiples of 3 006 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3 006 too, since 0 × 3 006 = 0
• 3 006: indeed, 3 006 is a multiple of itself, since 3 006 is evenly divisible by 3 006 (we have 3 006 / 3 006 = 1, so the remainder of this division is indeed zero)
• 6 012: indeed, 6 012 = 3 006 × 2
• 9 018: indeed, 9 018 = 3 006 × 3
• 12 024: indeed, 12 024 = 3 006 × 4
• 15 030: indeed, 15 030 = 3 006 × 5
• etc.

• Preceding numbers: …3 004, 3 005
• Following numbers: 3 007, 3 008…

Nearest numbers from 3 006

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

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• 3 006 est-il un nombre premier ?