Is 40993 a prime number?

40 993 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 40 993 is about 202.467.

Thus, the square root of 40 993 is not an integer, and therefore 40 993 is not a square number.

Anyway, 40 993 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 40 993) is the result of the product of this number (40 993) by itself (i.e., 40 993 × 40 993); the square of 40 993 is sometimes called "raising 40 993 to the power 2", or "40 993 squared".

The square of 40 993 is 1 680 426 049 because 40 993 × 40 993 = 40 993² = 1 680 426 049.

As a consequence, 40 993 is the square root of 1 680 426 049.

40 993 is a number with 5 digits.

The multiples of 40 993 are all integers evenly divisible by 40 993, that is all numbers such that the remainder of the division by 40 993 is zero. There are infinitely many multiples of 40 993. The smallest multiples of 40 993 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 40 993 too, since 0 × 40 993 = 0
• 40 993: indeed, 40 993 is a multiple of itself, since 40 993 is evenly divisible by 40 993 (we have 40 993 / 40 993 = 1, so the remainder of this division is indeed zero)
• 81 986: indeed, 81 986 = 40 993 × 2
• 122 979: indeed, 122 979 = 40 993 × 3
• 163 972: indeed, 163 972 = 40 993 × 4
• 204 965: indeed, 204 965 = 40 993 × 5
• etc.

• Preceding numbers: …40 991, 40 992
• Following numbers: 40 994, 40 995…

Nearest numbers from 40 993

• Preceding prime number: 40 973
• Following prime number: 41 011

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• 40 993 est-il un nombre premier ?