Is 3793 a prime number?

3 793 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 3 793 is about 61.587.

Thus, the square root of 3 793 is not an integer, and therefore 3 793 is not a square number.

Anyway, 3 793 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 3 793) is the result of the product of this number (3 793) by itself (i.e., 3 793 × 3 793); the square of 3 793 is sometimes called "raising 3 793 to the power 2", or "3 793 squared".

The square of 3 793 is 14 386 849 because 3 793 × 3 793 = 3 793² = 14 386 849.

As a consequence, 3 793 is the square root of 14 386 849.

3 793 is a number with 4 digits.

The multiples of 3 793 are all integers evenly divisible by 3 793, that is all numbers such that the remainder of the division by 3 793 is zero. There are infinitely many multiples of 3 793. The smallest multiples of 3 793 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3 793 too, since 0 × 3 793 = 0
• 3 793: indeed, 3 793 is a multiple of itself, since 3 793 is evenly divisible by 3 793 (we have 3 793 / 3 793 = 1, so the remainder of this division is indeed zero)
• 7 586: indeed, 7 586 = 3 793 × 2
• 11 379: indeed, 11 379 = 3 793 × 3
• 15 172: indeed, 15 172 = 3 793 × 4
• 18 965: indeed, 18 965 = 3 793 × 5
• etc.

• Preceding numbers: …3 791, 3 792
• Following numbers: 3 794, 3 795…

Nearest numbers from 3 793

• Preceding prime number: 3 779
• Following prime number: 3 797

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• 3 793 est-il un nombre premier ?