Is 3329 a prime number? What are the divisors of 3329?

Is 3329 a prime number?

Yes, 3329 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 3329, the only two divisors are 1 and 3329. Therefore 3329 is a prime number.

As a consequence, 3329 is only a multiple of 1 and 3329.

Since 3329 is a prime number, 3329 is also a deficient number, that is to say 3329 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3329 without 3329 itself (that is 1, by definition!).

Parity of 3329

3329 is an odd number, because it is not evenly divisible by 2.

Is 3329 a perfect square 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 3329 is about 57.697.

Thus, the square root of 3329 is not an integer, and therefore 3329 is not a square number.

Anyway, 3329 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 3329?

The square of a number (here 3329) is the result of the product of this number (3329) by itself (i.e., 3329 × 3329); the square of 3329 is sometimes called "raising 3329 to the power 2", or "3329 squared".

The square of 3329 is 11 082 241 because 3329 × 3329 = 33292 = 11 082 241.

As a consequence, 3329 is the square root of 11 082 241.

Number of digits of 3329

3329 is a number with 4 digits.

What are the multiples of 3329?

The multiples of 3329 are all integers evenly divisible by 3329, that is all numbers such that the remainder of the division by 3329 is zero. There are infinitely many multiples of 3329. The smallest multiples of 3329 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3329 too, since 0 × 3329 = 0
  • 3329: indeed, 3329 is a multiple of itself, since 3329 is evenly divisible by 3329 (we have 3329 / 3329 = 1, so the remainder of this division is indeed zero)
  • 6 658: indeed, 6 658 = 3329 × 2
  • 9 987: indeed, 9 987 = 3329 × 3
  • 13 316: indeed, 13 316 = 3329 × 4
  • 16 645: indeed, 16 645 = 3329 × 5
  • etc.

Numbers near 3329

Nearest numbers from 3329

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