14286

14286 is a number that has appeared in various contexts across mathematics, culture, and popular media, often due to its unique properties and associations. One of its most notable features is its appearance in the Fibonacci sequence, a series of numbers where each number is the sum of the two preceding ones. The sequence begins with 0 and 1, and 14286 is the 20th Fibonacci number (F₂₀), following the sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 14286.

In recreational mathematics, 14286 is sometimes referenced in puzzles and brain teasers due to its place in the Fibonacci sequence and its divisibility properties. It is divisible by 1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 44, 66, 77, 78, 91, 132, 143, 154, 182, 231, 259, 273, 286, 364, 462, 518, 594, 715, 819, 847, 1036, 1188, 1430, 1638, 2172, 2376, 2507, 2970, 3376, 4752, 5014, 5940, 7152, 7694, and 14286 itself, making it a highly composite number with numerous divisors.

The number has also gained attention in popular culture, particularly through its appearance in the 2009 film *The Hangover*, where it is referenced as a significant date in the plot. Additionally, it has been referenced in various internet memes and online communities, often as a symbol of coincidence or curiosity.

Beyond its mathematical and cultural significance, 14286 remains a relatively obscure number with no major scientific or practical applications. Its prominence stems largely from its place in well-known sequences and its occasional appearances in media.