Is 46723 a prime number?

46 723 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 46 723 is about 216.155.

Thus, the square root of 46 723 is not an integer, and therefore 46 723 is not a square number.

Anyway, 46 723 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 46 723) is the result of the product of this number (46 723) by itself (i.e., 46 723 × 46 723); the square of 46 723 is sometimes called "raising 46 723 to the power 2", or "46 723 squared".

The square of 46 723 is 2 183 038 729 because 46 723 × 46 723 = 46 723² = 2 183 038 729.

As a consequence, 46 723 is the square root of 2 183 038 729.

46 723 is a number with 5 digits.

The multiples of 46 723 are all integers evenly divisible by 46 723, that is all numbers such that the remainder of the division by 46 723 is zero. There are infinitely many multiples of 46 723. The smallest multiples of 46 723 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 46 723 too, since 0 × 46 723 = 0
• 46 723: indeed, 46 723 is a multiple of itself, since 46 723 is evenly divisible by 46 723 (we have 46 723 / 46 723 = 1, so the remainder of this division is indeed zero)
• 93 446: indeed, 93 446 = 46 723 × 2
• 140 169: indeed, 140 169 = 46 723 × 3
• 186 892: indeed, 186 892 = 46 723 × 4
• 233 615: indeed, 233 615 = 46 723 × 5
• etc.

• Preceding numbers: …46 721, 46 722
• Following numbers: 46 724, 46 725…

Nearest numbers from 46 723

• Preceding prime number: 46 703
• Following prime number: 46 727

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• 46 723 est-il un nombre premier ?