Is 6971 a prime number?

6 971 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 6 971 is about 83.493.

Thus, the square root of 6 971 is not an integer, and therefore 6 971 is not a square number.

Anyway, 6 971 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 6 971) is the result of the product of this number (6 971) by itself (i.e., 6 971 × 6 971); the square of 6 971 is sometimes called "raising 6 971 to the power 2", or "6 971 squared".

The square of 6 971 is 48 594 841 because 6 971 × 6 971 = 6 971² = 48 594 841.

As a consequence, 6 971 is the square root of 48 594 841.

6 971 is a number with 4 digits.

The multiples of 6 971 are all integers evenly divisible by 6 971, that is all numbers such that the remainder of the division by 6 971 is zero. There are infinitely many multiples of 6 971. The smallest multiples of 6 971 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 6 971 too, since 0 × 6 971 = 0
• 6 971: indeed, 6 971 is a multiple of itself, since 6 971 is evenly divisible by 6 971 (we have 6 971 / 6 971 = 1, so the remainder of this division is indeed zero)
• 13 942: indeed, 13 942 = 6 971 × 2
• 20 913: indeed, 20 913 = 6 971 × 3
• 27 884: indeed, 27 884 = 6 971 × 4
• 34 855: indeed, 34 855 = 6 971 × 5
• etc.

• Preceding numbers: …6 969, 6 970
• Following numbers: 6 972, 6 973…

Nearest numbers from 6 971

• Preceding prime number: 6 967
• Following prime number: 6 977

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• 6 971 est-il un nombre premier ?