Is 504001 a prime number?

504 001 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 504 001 is about 709.930.

Thus, the square root of 504 001 is not an integer, and therefore 504 001 is not a square number.

Anyway, 504 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 504 001) is the result of the product of this number (504 001) by itself (i.e., 504 001 × 504 001); the square of 504 001 is sometimes called "raising 504 001 to the power 2", or "504 001 squared".

The square of 504 001 is 254 017 008 001 because 504 001 × 504 001 = 504 001² = 254 017 008 001.

As a consequence, 504 001 is the square root of 254 017 008 001.

504 001 is a number with 6 digits.

The multiples of 504 001 are all integers evenly divisible by 504 001, that is all numbers such that the remainder of the division by 504 001 is zero. There are infinitely many multiples of 504 001. The smallest multiples of 504 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 504 001 too, since 0 × 504 001 = 0
• 504 001: indeed, 504 001 is a multiple of itself, since 504 001 is evenly divisible by 504 001 (we have 504 001 / 504 001 = 1, so the remainder of this division is indeed zero)
• 1 008 002: indeed, 1 008 002 = 504 001 × 2
• 1 512 003: indeed, 1 512 003 = 504 001 × 3
• 2 016 004: indeed, 2 016 004 = 504 001 × 4
• 2 520 005: indeed, 2 520 005 = 504 001 × 5
• etc.

• Preceding numbers: …503 999, 504 000
• Following numbers: 504 002, 504 003…

Nearest numbers from 504 001

• Preceding prime number: 503 989
• Following prime number: 504 011

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• 504 001 est-il un nombre premier ?