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perfect number

American  

noun

Mathematics.
  1. a positive number that is equal to the sum of all positive integers that are submultiples of it, as 6, which is equal to the sum of 1, 2, and 3.


perfect number British  

noun

  1. an integer, such as 28, that is equal to the sum of all its possible factors, excluding itself

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

perfect number Scientific  
  1. A positive integer that equals the sum of all of its divisors other than itself. An example is 28, whose divisors (not counting itself) are 1, 2, 4, 7, and 14, which added together give 28.


Etymology

Origin of perfect number

Middle English word dating back to 1350–1400


Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

See Examples For:

Maybe it will give Infantino a reason to restore the tournament to a perfect number.

From BBC ● Jun. 25, 2026

I always felt like three seasons was sort of a perfect number for a smaller show like this.

From Los Angeles Times ● Feb. 17, 2026

Six is a perfect number, and seven is a prime number, but only a glutton for punishment would put them together in front of a bunch of 13-year-olds.

From The Wall Street Journal ● Oct. 14, 2025

"In light of the weekend's events, I don't think it could have been a more perfect number."

From Reuters ● Mar. 14, 2023

Sacred number three called the perfect number, 5-l.

From Morals and Dogma of the Ancient and Accepted Scottish Rite of Freemasonry by Albert Pike

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