4197

4197 is a number that appears in various contexts, often in mathematics, science, and popular culture. In mathematics, 4197 is notable for being the smallest number that can be expressed as the sum of two positive cubes in two different ways: 4197 = 12^3 + 1^3 = 9^3 + 15^3. This property makes it a taxicab number, a concept introduced by the mathematician G.H. Hardy. The number also has significance in the field of computer science, where it is used as a port number for the Internet Message Access Protocol (IMAP) over SSL/TLS. In popular culture, 4197 has been referenced in various works, including literature and film, often symbolizing mystery or intrigue. Despite its varied appearances, 4197 remains a relatively obscure number, lacking the widespread recognition of more common numerical constants.