Is 2504 a prime number?

2 504 is an even number, because it is evenly divisible by 2: 2 504 / 2 = 1 252.

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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 2 504 is about 50.040.

Thus, the square root of 2 504 is not an integer, and therefore 2 504 is not a square number.

The square of a number (here 2 504) is the result of the product of this number (2 504) by itself (i.e., 2 504 × 2 504); the square of 2 504 is sometimes called "raising 2 504 to the power 2", or "2 504 squared".

The square of 2 504 is 6 270 016 because 2 504 × 2 504 = 2 504² = 6 270 016.

As a consequence, 2 504 is the square root of 6 270 016.

2 504 is a number with 4 digits.

The multiples of 2 504 are all integers evenly divisible by 2 504, that is all numbers such that the remainder of the division by 2 504 is zero. There are infinitely many multiples of 2 504. The smallest multiples of 2 504 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 504 too, since 0 × 2 504 = 0
• 2 504: indeed, 2 504 is a multiple of itself, since 2 504 is evenly divisible by 2 504 (we have 2 504 / 2 504 = 1, so the remainder of this division is indeed zero)
• 5 008: indeed, 5 008 = 2 504 × 2
• 7 512: indeed, 7 512 = 2 504 × 3
• 10 016: indeed, 10 016 = 2 504 × 4
• 12 520: indeed, 12 520 = 2 504 × 5
• etc.

• Preceding numbers: …2 502, 2 503
• Following numbers: 2 505, 2 506…

Nearest numbers from 2 504

• Preceding prime number: 2 503
• Following prime number: 2 521

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• 2 504 est-il un nombre premier ?