2360237

2360237 is a number that belongs to the set of natural numbers. It is an odd number, meaning it is not divisible by 2 without leaving a remainder. The number 2360237 can be expressed as a sum of two squares in two different ways: 2360237 = 1537^2 + 1488^2 and 2360237 = 1536^2 + 1489^2. This property makes it a member of the set of numbers that can be expressed as the sum of two squares.

In the field of mathematics, 2360237 is a Heegner number, which are specific types of integers that play a significant role in the study of elliptic curves and modular forms. Heegner numbers are defined as those integers k for which the imaginary quadratic field Q(sqrt(-k)) has class number 1. The number 2360237 is a Heegner number because it satisfies this condition.

Additionally, 2360237 is a practical number, meaning that for every natural number less than 2360237, there exists a combination of 2360237 coins that can be used to make exact change. This property is useful in various fields, including economics and computer science.

The number 2360237 is also a sphenic number, which is a positive integer that is the product of exactly three distinct prime numbers. The prime factorization of 2360237 is 7^2 * 11^2 * 41, which confirms its sphenic nature.

In summary, 2360237 is a significant number in the realm of mathematics, possessing properties that make it an interesting subject of study in various areas of number theory.