Is 3463 a prime number? What are the divisors of 3463?

Is 3463 a prime number?

Yes, 3463 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 3463, the only two divisors are 1 and 3463. Therefore 3463 is a prime number.

As a consequence, 3463 is only a multiple of 1 and 3463.

Since 3463 is a prime number, 3463 is also a deficient number, that is to say 3463 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3463 without 3463 itself (that is 1, by definition!).

Parity of 3463

3463 is an odd number, because it is not evenly divisible by 2.

Is 3463 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 3463 is about 58.847.

Thus, the square root of 3463 is not an integer, and therefore 3463 is not a square number.

Anyway, 3463 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 3463?

The square of a number (here 3463) is the result of the product of this number (3463) by itself (i.e., 3463 × 3463); the square of 3463 is sometimes called "raising 3463 to the power 2", or "3463 squared".

The square of 3463 is 11 992 369 because 3463 × 3463 = 34632 = 11 992 369.

As a consequence, 3463 is the square root of 11 992 369.

Number of digits of 3463

3463 is a number with 4 digits.

What are the multiples of 3463?

The multiples of 3463 are all integers evenly divisible by 3463, that is all numbers such that the remainder of the division by 3463 is zero. There are infinitely many multiples of 3463. The smallest multiples of 3463 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3463 too, since 0 × 3463 = 0
  • 3463: indeed, 3463 is a multiple of itself, since 3463 is evenly divisible by 3463 (we have 3463 / 3463 = 1, so the remainder of this division is indeed zero)
  • 6 926: indeed, 6 926 = 3463 × 2
  • 10 389: indeed, 10 389 = 3463 × 3
  • 13 852: indeed, 13 852 = 3463 × 4
  • 17 315: indeed, 17 315 = 3463 × 5
  • etc.

Numbers near 3463

Nearest numbers from 3463

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