Is 12413 a prime number?

12 413 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 12 413 is about 111.414.

Thus, the square root of 12 413 is not an integer, and therefore 12 413 is not a square number.

Anyway, 12 413 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 12 413) is the result of the product of this number (12 413) by itself (i.e., 12 413 × 12 413); the square of 12 413 is sometimes called "raising 12 413 to the power 2", or "12 413 squared".

The square of 12 413 is 154 082 569 because 12 413 × 12 413 = 12 413² = 154 082 569.

As a consequence, 12 413 is the square root of 154 082 569.

12 413 is a number with 5 digits.

The multiples of 12 413 are all integers evenly divisible by 12 413, that is all numbers such that the remainder of the division by 12 413 is zero. There are infinitely many multiples of 12 413. The smallest multiples of 12 413 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 12 413 too, since 0 × 12 413 = 0
• 12 413: indeed, 12 413 is a multiple of itself, since 12 413 is evenly divisible by 12 413 (we have 12 413 / 12 413 = 1, so the remainder of this division is indeed zero)
• 24 826: indeed, 24 826 = 12 413 × 2
• 37 239: indeed, 37 239 = 12 413 × 3
• 49 652: indeed, 49 652 = 12 413 × 4
• 62 065: indeed, 62 065 = 12 413 × 5
• etc.

• Preceding numbers: …12 411, 12 412
• Following numbers: 12 414, 12 415…

Nearest numbers from 12 413

• Preceding prime number: 12 409
• Following prime number: 12 421

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• 12 413 est-il un nombre premier ?