17053

17053 is a natural number that follows 17052 and precedes 17054. In mathematics, it is notable for being a prime number, meaning it has no positive divisors other than 1 and itself.

Prime status and basic properties

The number 17053 is odd and not divisible by small primes such as 3, 5, or 7. A divisibility check against all primes up to the square root of 17053 (approximately 131) confirms that it has no proper factor, so 17053 is prime. It is congruent to 1 modulo 4, which guarantees that it can be expressed as a sum of two squares, although a specific representation is not shown here. Its digital sum is 16, giving a digital root of 7.

Representations in other bases

In binary, 17053 is 100001010011101. In hexadecimal, it is 0x429D. These representations reflect its decimal value and are sometimes useful in computational contexts or when discussing its bit-level properties.

Context and significance

As a relatively small prime, 17053 appears in generic discussions of prime numbers and number theory. It does not have widely cited special names or historical anecdotes, but like all primes, it is a basic building block in arithmetic and plays a role in various primality-testing examples and theoretical discussions.