Is 5801 a prime number?

5 801 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 5 801 is about 76.164.

Thus, the square root of 5 801 is not an integer, and therefore 5 801 is not a square number.

Anyway, 5 801 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 5 801) is the result of the product of this number (5 801) by itself (i.e., 5 801 × 5 801); the square of 5 801 is sometimes called "raising 5 801 to the power 2", or "5 801 squared".

The square of 5 801 is 33 651 601 because 5 801 × 5 801 = 5 801² = 33 651 601.

As a consequence, 5 801 is the square root of 33 651 601.

5 801 is a number with 4 digits.

The multiples of 5 801 are all integers evenly divisible by 5 801, that is all numbers such that the remainder of the division by 5 801 is zero. There are infinitely many multiples of 5 801. The smallest multiples of 5 801 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 5 801 too, since 0 × 5 801 = 0
• 5 801: indeed, 5 801 is a multiple of itself, since 5 801 is evenly divisible by 5 801 (we have 5 801 / 5 801 = 1, so the remainder of this division is indeed zero)
• 11 602: indeed, 11 602 = 5 801 × 2
• 17 403: indeed, 17 403 = 5 801 × 3
• 23 204: indeed, 23 204 = 5 801 × 4
• 29 005: indeed, 29 005 = 5 801 × 5
• etc.

• Preceding numbers: …5 799, 5 800
• Following numbers: 5 802, 5 803…

Nearest numbers from 5 801

• Preceding prime number: 5 791
• Following prime number: 5 807

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• 5 801 est-il un nombre premier ?