Is 10001 a prime number?

10 001 is an odd number, because it is not evenly divisible by 2.

Find out more:

• 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 10 001 is about 100.005.

Thus, the square root of 10 001 is not an integer, and therefore 10 001 is not a square number.

The square of a number (here 10 001) is the result of the product of this number (10 001) by itself (i.e., 10 001 × 10 001); the square of 10 001 is sometimes called "raising 10 001 to the power 2", or "10 001 squared".

The square of 10 001 is 100 020 001 because 10 001 × 10 001 = 10 001² = 100 020 001.

As a consequence, 10 001 is the square root of 100 020 001.

10 001 is a number with 5 digits.

The multiples of 10 001 are all integers evenly divisible by 10 001, that is all numbers such that the remainder of the division by 10 001 is zero. There are infinitely many multiples of 10 001. The smallest multiples of 10 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 10 001 too, since 0 × 10 001 = 0
• 10 001: indeed, 10 001 is a multiple of itself, since 10 001 is evenly divisible by 10 001 (we have 10 001 / 10 001 = 1, so the remainder of this division is indeed zero)
• 20 002: indeed, 20 002 = 10 001 × 2
• 30 003: indeed, 30 003 = 10 001 × 3
• 40 004: indeed, 40 004 = 10 001 × 4
• 50 005: indeed, 50 005 = 10 001 × 5
• etc.

• Preceding numbers: …9 999, 10 000
• Following numbers: 10 002, 10 003…

Nearest numbers from 10 001

• Preceding prime number: 9 973
• Following prime number: 10 007

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• 10 001 est-il un nombre premier ?