18353

18353 is a number that belongs to the set of natural numbers. It is an odd number, meaning it is not divisible by 2. The number 18353 can be expressed as a sum of two squares in two different ways: 18353 = 135^2 + 1^2 and 18353 = 134^2 + 10^2. This makes it a sum of two squares number, a class of numbers that can be represented as the sum of two squares of integers.

The prime factorization of 18353 is 11 × 13 × 13 × 13. This means that 18353 is a composite number, as it has factors other than 1 and itself. The number 18353 is also a happy number, a concept from number theory where a sequence of numbers is generated by summing the squares of the digits of the previous number, eventually reaching 1.

In the context of the Fibonacci sequence, 18353 is the 18353rd number in the sequence. It is also a repunit, a number consisting of repeated units, in this case, 18353 ones.

18353 is a nontrivial zero of the Riemann zeta function, a function that plays a central role in analytic number theory. It is also a nontrivial solution to the equation x^2 + y^4 = z^2, a type of equation studied in number theory.

The number 18353 appears in various contexts within mathematics, including number theory, algebra, and geometry. Its properties and relationships with other numbers make it an interesting subject of study in the field of mathematics.