Is 4993 a prime number?

4 993 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 4 993 is about 70.661.

Thus, the square root of 4 993 is not an integer, and therefore 4 993 is not a square number.

Anyway, 4 993 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 4 993) is the result of the product of this number (4 993) by itself (i.e., 4 993 × 4 993); the square of 4 993 is sometimes called "raising 4 993 to the power 2", or "4 993 squared".

The square of 4 993 is 24 930 049 because 4 993 × 4 993 = 4 993² = 24 930 049.

As a consequence, 4 993 is the square root of 24 930 049.

4 993 is a number with 4 digits.

The multiples of 4 993 are all integers evenly divisible by 4 993, that is all numbers such that the remainder of the division by 4 993 is zero. There are infinitely many multiples of 4 993. The smallest multiples of 4 993 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4 993 too, since 0 × 4 993 = 0
• 4 993: indeed, 4 993 is a multiple of itself, since 4 993 is evenly divisible by 4 993 (we have 4 993 / 4 993 = 1, so the remainder of this division is indeed zero)
• 9 986: indeed, 9 986 = 4 993 × 2
• 14 979: indeed, 14 979 = 4 993 × 3
• 19 972: indeed, 19 972 = 4 993 × 4
• 24 965: indeed, 24 965 = 4 993 × 5
• etc.

• Preceding numbers: …4 991, 4 992
• Following numbers: 4 994, 4 995…

Nearest numbers from 4 993

• Preceding prime number: 4 987
• Following prime number: 4 999

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• 4 993 est-il un nombre premier ?