Is 17004 a prime number?

17 004 is an even number, because it is evenly divisible by 2: 17 004 / 2 = 8 502.

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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 17 004 is about 130.399.

Thus, the square root of 17 004 is not an integer, and therefore 17 004 is not a square number.

The square of a number (here 17 004) is the result of the product of this number (17 004) by itself (i.e., 17 004 × 17 004); the square of 17 004 is sometimes called "raising 17 004 to the power 2", or "17 004 squared".

The square of 17 004 is 289 136 016 because 17 004 × 17 004 = 17 004² = 289 136 016.

As a consequence, 17 004 is the square root of 289 136 016.

17 004 is a number with 5 digits.

The multiples of 17 004 are all integers evenly divisible by 17 004, that is all numbers such that the remainder of the division by 17 004 is zero. There are infinitely many multiples of 17 004. The smallest multiples of 17 004 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 17 004 too, since 0 × 17 004 = 0
• 17 004: indeed, 17 004 is a multiple of itself, since 17 004 is evenly divisible by 17 004 (we have 17 004 / 17 004 = 1, so the remainder of this division is indeed zero)
• 34 008: indeed, 34 008 = 17 004 × 2
• 51 012: indeed, 51 012 = 17 004 × 3
• 68 016: indeed, 68 016 = 17 004 × 4
• 85 020: indeed, 85 020 = 17 004 × 5
• etc.

• Preceding numbers: …17 002, 17 003
• Following numbers: 17 005, 17 006…

Nearest numbers from 17 004

• Preceding prime number: 16 993
• Following prime number: 17 011

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• 17 004 est-il un nombre premier ?