Is 401993 a prime number?

401 993 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 401 993 is about 634.029.

Thus, the square root of 401 993 is not an integer, and therefore 401 993 is not a square number.

Anyway, 401 993 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 401 993) is the result of the product of this number (401 993) by itself (i.e., 401 993 × 401 993); the square of 401 993 is sometimes called "raising 401 993 to the power 2", or "401 993 squared".

The square of 401 993 is 161 598 372 049 because 401 993 × 401 993 = 401 993² = 161 598 372 049.

As a consequence, 401 993 is the square root of 161 598 372 049.

401 993 is a number with 6 digits.

The multiples of 401 993 are all integers evenly divisible by 401 993, that is all numbers such that the remainder of the division by 401 993 is zero. There are infinitely many multiples of 401 993. The smallest multiples of 401 993 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 401 993 too, since 0 × 401 993 = 0
• 401 993: indeed, 401 993 is a multiple of itself, since 401 993 is evenly divisible by 401 993 (we have 401 993 / 401 993 = 1, so the remainder of this division is indeed zero)
• 803 986: indeed, 803 986 = 401 993 × 2
• 1 205 979: indeed, 1 205 979 = 401 993 × 3
• 1 607 972: indeed, 1 607 972 = 401 993 × 4
• 2 009 965: indeed, 2 009 965 = 401 993 × 5
• etc.

• Preceding numbers: …401 991, 401 992
• Following numbers: 401 994, 401 995…

Nearest numbers from 401 993

• Preceding prime number: 401 987
• Following prime number: 402 023

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• 401 993 est-il un nombre premier ?