Is 3313 a prime number?

3 313 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 3 313 is about 57.559.

Thus, the square root of 3 313 is not an integer, and therefore 3 313 is not a square number.

Anyway, 3 313 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 3 313) is the result of the product of this number (3 313) by itself (i.e., 3 313 × 3 313); the square of 3 313 is sometimes called "raising 3 313 to the power 2", or "3 313 squared".

The square of 3 313 is 10 975 969 because 3 313 × 3 313 = 3 313² = 10 975 969.

As a consequence, 3 313 is the square root of 10 975 969.

3 313 is a number with 4 digits.

The multiples of 3 313 are all integers evenly divisible by 3 313, that is all numbers such that the remainder of the division by 3 313 is zero. There are infinitely many multiples of 3 313. The smallest multiples of 3 313 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3 313 too, since 0 × 3 313 = 0
• 3 313: indeed, 3 313 is a multiple of itself, since 3 313 is evenly divisible by 3 313 (we have 3 313 / 3 313 = 1, so the remainder of this division is indeed zero)
• 6 626: indeed, 6 626 = 3 313 × 2
• 9 939: indeed, 9 939 = 3 313 × 3
• 13 252: indeed, 13 252 = 3 313 × 4
• 16 565: indeed, 16 565 = 3 313 × 5
• etc.

• Preceding numbers: …3 311, 3 312
• Following numbers: 3 314, 3 315…

Nearest numbers from 3 313

• Preceding prime number: 3 307
• Following prime number: 3 319

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• 3 313 est-il un nombre premier ?