Is 5413 a prime number?

5 413 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 5 413 is about 73.573.

Thus, the square root of 5 413 is not an integer, and therefore 5 413 is not a square number.

Anyway, 5 413 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 5 413) is the result of the product of this number (5 413) by itself (i.e., 5 413 × 5 413); the square of 5 413 is sometimes called "raising 5 413 to the power 2", or "5 413 squared".

The square of 5 413 is 29 300 569 because 5 413 × 5 413 = 5 413² = 29 300 569.

As a consequence, 5 413 is the square root of 29 300 569.

5 413 is a number with 4 digits.

The multiples of 5 413 are all integers evenly divisible by 5 413, that is all numbers such that the remainder of the division by 5 413 is zero. There are infinitely many multiples of 5 413. The smallest multiples of 5 413 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5 413 too, since 0 × 5 413 = 0
• 5 413: indeed, 5 413 is a multiple of itself, since 5 413 is evenly divisible by 5 413 (we have 5 413 / 5 413 = 1, so the remainder of this division is indeed zero)
• 10 826: indeed, 10 826 = 5 413 × 2
• 16 239: indeed, 16 239 = 5 413 × 3
• 21 652: indeed, 21 652 = 5 413 × 4
• 27 065: indeed, 27 065 = 5 413 × 5
• etc.

• Preceding numbers: …5 411, 5 412
• Following numbers: 5 414, 5 415…

Nearest numbers from 5 413

• Preceding prime number: 5 407
• Following prime number: 5 417

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• 5 413 est-il un nombre premier ?