Is 4801 a prime number?

4 801 is an odd number, because it is not evenly divisible by 2.

Find out more:

• 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 4 801 is about 69.289.

Thus, the square root of 4 801 is not an integer, and therefore 4 801 is not a square number.

Anyway, 4 801 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 4 801) is the result of the product of this number (4 801) by itself (i.e., 4 801 × 4 801); the square of 4 801 is sometimes called "raising 4 801 to the power 2", or "4 801 squared".

The square of 4 801 is 23 049 601 because 4 801 × 4 801 = 4 801² = 23 049 601.

As a consequence, 4 801 is the square root of 23 049 601.

4 801 is a number with 4 digits.

The multiples of 4 801 are all integers evenly divisible by 4 801, that is all numbers such that the remainder of the division by 4 801 is zero. There are infinitely many multiples of 4 801. The smallest multiples of 4 801 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4 801 too, since 0 × 4 801 = 0
• 4 801: indeed, 4 801 is a multiple of itself, since 4 801 is evenly divisible by 4 801 (we have 4 801 / 4 801 = 1, so the remainder of this division is indeed zero)
• 9 602: indeed, 9 602 = 4 801 × 2
• 14 403: indeed, 14 403 = 4 801 × 3
• 19 204: indeed, 19 204 = 4 801 × 4
• 24 005: indeed, 24 005 = 4 801 × 5
• etc.

• Preceding numbers: …4 799, 4 800
• Following numbers: 4 802, 4 803…

Nearest numbers from 4 801

• Preceding prime number: 4 799
• Following prime number: 4 813

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• 4 801 est-il un nombre premier ?