Is 9901 a prime number?

9 901 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 9 901 is about 99.504.

Thus, the square root of 9 901 is not an integer, and therefore 9 901 is not a square number.

Anyway, 9 901 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 9 901) is the result of the product of this number (9 901) by itself (i.e., 9 901 × 9 901); the square of 9 901 is sometimes called "raising 9 901 to the power 2", or "9 901 squared".

The square of 9 901 is 98 029 801 because 9 901 × 9 901 = 9 901² = 98 029 801.

As a consequence, 9 901 is the square root of 98 029 801.

9 901 is a number with 4 digits.

The multiples of 9 901 are all integers evenly divisible by 9 901, that is all numbers such that the remainder of the division by 9 901 is zero. There are infinitely many multiples of 9 901. The smallest multiples of 9 901 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9 901 too, since 0 × 9 901 = 0
• 9 901: indeed, 9 901 is a multiple of itself, since 9 901 is evenly divisible by 9 901 (we have 9 901 / 9 901 = 1, so the remainder of this division is indeed zero)
• 19 802: indeed, 19 802 = 9 901 × 2
• 29 703: indeed, 29 703 = 9 901 × 3
• 39 604: indeed, 39 604 = 9 901 × 4
• 49 505: indeed, 49 505 = 9 901 × 5
• etc.

• Preceding numbers: …9 899, 9 900
• Following numbers: 9 902, 9 903…

Nearest numbers from 9 901

• Preceding prime number: 9 887
• Following prime number: 9 907

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• 9 901 est-il un nombre premier ?