Is 42001 a prime number?

42 001 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 42 001 is about 204.941.

Thus, the square root of 42 001 is not an integer, and therefore 42 001 is not a square number.

The square of a number (here 42 001) is the result of the product of this number (42 001) by itself (i.e., 42 001 × 42 001); the square of 42 001 is sometimes called "raising 42 001 to the power 2", or "42 001 squared".

The square of 42 001 is 1 764 084 001 because 42 001 × 42 001 = 42 001² = 1 764 084 001.

As a consequence, 42 001 is the square root of 1 764 084 001.

42 001 is a number with 5 digits.

The multiples of 42 001 are all integers evenly divisible by 42 001, that is all numbers such that the remainder of the division by 42 001 is zero. There are infinitely many multiples of 42 001. The smallest multiples of 42 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 42 001 too, since 0 × 42 001 = 0
• 42 001: indeed, 42 001 is a multiple of itself, since 42 001 is evenly divisible by 42 001 (we have 42 001 / 42 001 = 1, so the remainder of this division is indeed zero)
• 84 002: indeed, 84 002 = 42 001 × 2
• 126 003: indeed, 126 003 = 42 001 × 3
• 168 004: indeed, 168 004 = 42 001 × 4
• 210 005: indeed, 210 005 = 42 001 × 5
• etc.

• Preceding numbers: …41 999, 42 000
• Following numbers: 42 002, 42 003…

Nearest numbers from 42 001

• Preceding prime number: 41 999
• Following prime number: 42 013

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• 42 001 est-il un nombre premier ?