Euler's number

Also known as Napier's constant, Euler number, base of natural logarithm

mathematical constant; limit of (1 + 1/n)^n as n approaches infinity; transcendental number approximately equal 2.718281828

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Euler's number, approximately 2.718281828, is a mathematical constant that appears naturally when you repeatedly apply the formula (1 + 1/n)^n with increasingly large values of n. It's a transcendental number that shows up frequently in mathematics, particularly in situations involving growth and change, making it as fundamental to advanced math as pi is to circles.

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Stack Exchange tag: stackoverflow.com/tags/eulers-number
Commons category: E (mathematical constant)
numeric value: 2.71828182845904523536028747135266249775724709369995957496696762772407663035354759457138217852516642742746
Unicode character: 𝑒

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Article

Graph of the equation y = 1/x. Here, e is the unique number larger than 1 that makes the shaded area under the curve equal to 1.

The number e is a mathematical constant, approximately equal to 2.71828, that is the base of the natural logarithm and exponential function. It is sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant, a different constant typically denoted