Is 3301 a prime number?

3 301 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 3 301 is about 57.454.

Thus, the square root of 3 301 is not an integer, and therefore 3 301 is not a square number.

Anyway, 3 301 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 3 301) is the result of the product of this number (3 301) by itself (i.e., 3 301 × 3 301); the square of 3 301 is sometimes called "raising 3 301 to the power 2", or "3 301 squared".

The square of 3 301 is 10 896 601 because 3 301 × 3 301 = 3 301² = 10 896 601.

As a consequence, 3 301 is the square root of 10 896 601.

3 301 is a number with 4 digits.

The multiples of 3 301 are all integers evenly divisible by 3 301, that is all numbers such that the remainder of the division by 3 301 is zero. There are infinitely many multiples of 3 301. The smallest multiples of 3 301 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3 301 too, since 0 × 3 301 = 0
• 3 301: indeed, 3 301 is a multiple of itself, since 3 301 is evenly divisible by 3 301 (we have 3 301 / 3 301 = 1, so the remainder of this division is indeed zero)
• 6 602: indeed, 6 602 = 3 301 × 2
• 9 903: indeed, 9 903 = 3 301 × 3
• 13 204: indeed, 13 204 = 3 301 × 4
• 16 505: indeed, 16 505 = 3 301 × 5
• etc.

• Preceding numbers: …3 299, 3 300
• Following numbers: 3 302, 3 303…

Nearest numbers from 3 301

• Preceding prime number: 3 299
• Following prime number: 3 307

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• 3 301 est-il un nombre premier ?