Is 2677 a prime number?

2 677 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 2 677 is about 51.740.

Thus, the square root of 2 677 is not an integer, and therefore 2 677 is not a square number.

Anyway, 2 677 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 2 677) is the result of the product of this number (2 677) by itself (i.e., 2 677 × 2 677); the square of 2 677 is sometimes called "raising 2 677 to the power 2", or "2 677 squared".

The square of 2 677 is 7 166 329 because 2 677 × 2 677 = 2 677² = 7 166 329.

As a consequence, 2 677 is the square root of 7 166 329.

2 677 is a number with 4 digits.

The multiples of 2 677 are all integers evenly divisible by 2 677, that is all numbers such that the remainder of the division by 2 677 is zero. There are infinitely many multiples of 2 677. The smallest multiples of 2 677 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 677 too, since 0 × 2 677 = 0
• 2 677: indeed, 2 677 is a multiple of itself, since 2 677 is evenly divisible by 2 677 (we have 2 677 / 2 677 = 1, so the remainder of this division is indeed zero)
• 5 354: indeed, 5 354 = 2 677 × 2
• 8 031: indeed, 8 031 = 2 677 × 3
• 10 708: indeed, 10 708 = 2 677 × 4
• 13 385: indeed, 13 385 = 2 677 × 5
• etc.

• Preceding numbers: …2 675, 2 676
• Following numbers: 2 678, 2 679…

Nearest numbers from 2 677

• Preceding prime number: 2 671
• Following prime number: 2 683

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• 2 677 est-il un nombre premier ?