366080

366080 is a number that has gained attention primarily in the context of cryptography, mathematics, and internet culture. It is notable for being the smallest known number that is the sum of two distinct powers of 2 and two distinct powers of 3. Specifically, it can be expressed as:

366080 = 2^19 + 2^14 + 3^8 + 3^5

This mathematical property makes it an interesting subject in number theory, particularly in the study of Diophantine equations, which seek integer solutions to polynomial equations.

In internet culture, 366080 has been referenced in various online communities, often as a humorous or obscure fact. It has also appeared in discussions related to the "Collatz conjecture," a famous unsolved problem in mathematics, though it is not directly related to the conjecture itself.

The number has been referenced in programming contexts as well, sometimes appearing in challenges or puzzles that involve binary or ternary representations. Its unique combination of powers of 2 and 3 makes it a useful example in discussions about number bases and mathematical representations.

While 366080 does not hold significant practical applications, its mathematical properties continue to spark interest among enthusiasts and researchers. Its relative obscurity in everyday contexts contributes to its appeal in niche discussions and puzzles.