# SOLUTION: What is the smallest perfect number?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Numbers -> SOLUTION: What is the smallest perfect number?      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Word Problems: Numbers, consecutive odd/even, digits Solvers Lessons Answers archive Quiz In Depth

 Question 269933: What is the smallest perfect number?Found 4 solutions by ankor@dixie-net.com, Tobiasz, Alan3354, richwmiller:Answer by ankor@dixie-net.com(15624)   (Show Source): You can put this solution on YOUR website!What is the smallest perfect number? Defined as,"A number the sum of whose distinct integral divisors, including 1 but excluding itself, is that number itself" : 6: 2,3,1 Answer by Tobiasz(54)   (Show Source): Answer by Alan3354(30959)   (Show Source): You can put this solution on YOUR website!I think that means it's the sum of its factors. 6 = 1 + 2 + 3 Answer by richwmiller(9135)   (Show Source): You can put this solution on YOUR website!http://en.wikipedia.org/wiki/Perfect_number In mathematics, a perfect number is a positive integer that is the sum of its proper positive divisors, that is, the sum of the positive divisors excluding the number itself. Equivalently, a perfect number is a number that is half the sum of all of its positive divisors (including itself), or σ(n) = 2n. The first perfect number is 6, because 1, 2, and 3 are its proper positive divisors, and 1 + 2 + 3 = 6. Equivalently, the number 6 is equal to half the sum of all its positive divisors: ( 1 + 2 + 3 + 6 ) / 2 = 6.