1414213562373

1414213562373 is a 13-digit integer formed by removing the decimal point from the decimal expansion of the mathematical constant the square root of 2 and taking the first 13 digits in sequence. Since sqrt(2) = 1.414213562373095..., removing the decimal point yields the digit string 1414213562373095..., of which 1414213562373 are the initial digits. The number itself has no special mathematical value beyond being a truncation of sqrt(2)’s expansion.

Mathematically, sqrt(2) is the positive real number that satisfies x^2 = 2. It is irrational, meaning its decimal expansion does not terminate or repeat. The value is also interpreted geometrically as the length of the diagonal of a unit square. The 13-digit integer 1414213562373 is commonly cited in numeric curiosities and as an example of how decimal expansions of irrational numbers can be represented in compact, truncated forms.

In practical contexts, such truncated digit strings are sometimes used in demonstrations of floating-point precision, parsing, or formatting tests, where a fixed sequence of digits from an irrational constant provides a deterministic test input. The object remains a simple curiosity rather than a standard constant.

See also: square root of 2, irrational number, decimal expansion, floating-point arithmetic.