111573

111573 is a number that has gained attention in various contexts, particularly within the realm of mathematics and recreational number theory. It is notable for being a part of several mathematical sequences and properties. One of its most recognized characteristics is that it is a **sphenic number**, meaning it is the product of three distinct prime numbers: 3, 3661, and 1009. This makes 111573 a composite number with exactly eight divisors: 1, 3, 1009, 3027, 3661, 10983, 37037, and 111573 itself.

The number also appears in the context of **perfect numbers**, though not directly as one. It is related to the study of **Mersenne primes** and their properties, as some Mersenne primes are used to generate perfect numbers. While 111573 itself is not a Mersenne prime, it is part of the discussion surrounding the exponents of Mersenne primes, which are often large and intriguing to mathematicians.

In recreational mathematics, 111573 is sometimes referenced in puzzles and challenges involving prime factorization or the identification of special types of numbers. Its unique combination of prime factors makes it an interesting case study for those exploring the properties of composite numbers.

Beyond mathematics, 111573 has appeared in popular culture and online communities, particularly in discussions about number symbolism or as a reference point in digital contexts, such as error codes or unique identifiers. Its inclusion in lists of notable numbers has contributed to its recognition among enthusiasts of mathematics and number theory.