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Magic Number


There are several different kinds of magic numbers. The digital root and magic constant are sometimes known as magic numbers.

In baseball, the magic number for a team in first place in a division is the number of games that team must win or the second place team must lose in order to clinch the division. The formula is

 magic number=[total number of games]-[number of wins by 1st place team]-[number of losses by the 2nd place team]+1.

For example, the standings for the National League Central Division as of August 9, 2004 are summarized in the following table.

teamwinslosses
St. Louis7238
Chicago6150
Houston5556
Cincinnati5457
Milwaukee5258
Pittsburgh5158

There were 162 games in the season so, for example, St. Louis's magic number on that date was

 162-72-50+1=41.

See also

Baseball, Digital Root, Magic Constant, Magic Cube, Magic Series, Magic Square, Sabermetrics

Portions of this entry contributed by John Renze

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Cite this as:

Renze, John and Weisstein, Eric W. "Magic Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MagicNumber.html

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