Is 3221 a prime number?

3 221 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 3 221 is about 56.754.

Thus, the square root of 3 221 is not an integer, and therefore 3 221 is not a square number.

Anyway, 3 221 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 3 221) is the result of the product of this number (3 221) by itself (i.e., 3 221 × 3 221); the square of 3 221 is sometimes called "raising 3 221 to the power 2", or "3 221 squared".

The square of 3 221 is 10 374 841 because 3 221 × 3 221 = 3 221² = 10 374 841.

As a consequence, 3 221 is the square root of 10 374 841.

3 221 is a number with 4 digits.

The multiples of 3 221 are all integers evenly divisible by 3 221, that is all numbers such that the remainder of the division by 3 221 is zero. There are infinitely many multiples of 3 221. The smallest multiples of 3 221 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3 221 too, since 0 × 3 221 = 0
• 3 221: indeed, 3 221 is a multiple of itself, since 3 221 is evenly divisible by 3 221 (we have 3 221 / 3 221 = 1, so the remainder of this division is indeed zero)
• 6 442: indeed, 6 442 = 3 221 × 2
• 9 663: indeed, 9 663 = 3 221 × 3
• 12 884: indeed, 12 884 = 3 221 × 4
• 16 105: indeed, 16 105 = 3 221 × 5
• etc.

• Preceding numbers: …3 219, 3 220
• Following numbers: 3 222, 3 223…

Nearest numbers from 3 221

• Preceding prime number: 3 217
• Following prime number: 3 229

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• 3 221 est-il un nombre premier ?