271828

271828 is the six-digit integer obtained by concatenating the first six digits of the decimal expansion of the mathematical constant e (2.718281828...), i.e., the digits 2, 7, 1, 8, 2, 8. The string is sometimes used as a compact representation of e in contexts where decimal points are unavailable or in digit-manipulation puzzles.

e, approximately 2.718281828, is the base of natural logarithms and appears widely in mathematics and applied disciplines. It arises as the limit of (1+1/n)^n, the derivative of e^x equals e^x, and the exponential function e^x is its own derivative. It has importance in growth models, probability, statistics, and financial calculations with continuous compounding.

Although related to e, 271828 is not a standalone mathematical constant and has no intrinsic properties beyond representing the leading digits of e's decimal expansion. It is used mainly as a mnemonic or placeholder in digital formats.

See also: e (mathematical constant), natural logarithm, exponential function.