Is 4523 a prime number?

4 523 is an odd number, because it is not evenly divisible by 2.

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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 4 523 is about 67.253.

Thus, the square root of 4 523 is not an integer, and therefore 4 523 is not a square number.

Anyway, 4 523 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 4 523) is the result of the product of this number (4 523) by itself (i.e., 4 523 × 4 523); the square of 4 523 is sometimes called "raising 4 523 to the power 2", or "4 523 squared".

The square of 4 523 is 20 457 529 because 4 523 × 4 523 = 4 523² = 20 457 529.

As a consequence, 4 523 is the square root of 20 457 529.

4 523 is a number with 4 digits.

The multiples of 4 523 are all integers evenly divisible by 4 523, that is all numbers such that the remainder of the division by 4 523 is zero. There are infinitely many multiples of 4 523. The smallest multiples of 4 523 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4 523 too, since 0 × 4 523 = 0
• 4 523: indeed, 4 523 is a multiple of itself, since 4 523 is evenly divisible by 4 523 (we have 4 523 / 4 523 = 1, so the remainder of this division is indeed zero)
• 9 046: indeed, 9 046 = 4 523 × 2
• 13 569: indeed, 13 569 = 4 523 × 3
• 18 092: indeed, 18 092 = 4 523 × 4
• 22 615: indeed, 22 615 = 4 523 × 5
• etc.

• Preceding numbers: …4 521, 4 522
• Following numbers: 4 524, 4 525…

Nearest numbers from 4 523

• Preceding prime number: 4 519
• Following prime number: 4 547

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• 4 523 est-il un nombre premier ?