Is 15473 a prime number? What are the divisors of 15473?

Is 15473 a prime number?

Yes, 15473 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 15473, the only two divisors are 1 and 15473. Therefore 15473 is a prime number.

As a consequence, 15473 is only a multiple of 1 and 15473.

Since 15473 is a prime number, 15473 is also a deficient number, that is to say 15473 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 15473 without 15473 itself (that is 1, by definition!).

Parity of 15473

15473 is an odd number, because it is not evenly divisible by 2.

Is 15473 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 15473 is about 124.391.

Thus, the square root of 15473 is not an integer, and therefore 15473 is not a square number.

Anyway, 15473 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 15473?

The square of a number (here 15473) is the result of the product of this number (15473) by itself (i.e., 15473 × 15473); the square of 15473 is sometimes called "raising 15473 to the power 2", or "15473 squared".

The square of 15473 is 239 413 729 because 15473 × 15473 = 154732 = 239 413 729.

As a consequence, 15473 is the square root of 239 413 729.

Number of digits of 15473

15473 is a number with 5 digits.

What are the multiples of 15473?

The multiples of 15473 are all integers evenly divisible by 15473, that is all numbers such that the remainder of the division by 15473 is zero. There are infinitely many multiples of 15473. The smallest multiples of 15473 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 15473 too, since 0 × 15473 = 0
  • 15473: indeed, 15473 is a multiple of itself, since 15473 is evenly divisible by 15473 (we have 15473 / 15473 = 1, so the remainder of this division is indeed zero)
  • 30 946: indeed, 30 946 = 15473 × 2
  • 46 419: indeed, 46 419 = 15473 × 3
  • 61 892: indeed, 61 892 = 15473 × 4
  • 77 365: indeed, 77 365 = 15473 × 5
  • etc.

Numbers near 15473

Nearest numbers from 15473

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