The Definition of a Perfect Number

In number theory, a perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself. This is also known as its aliquot sum.

Perfect Numbers
Perfect Numbers

List of Perfect numbers:

6,

28,

496,

8128,

33550336,

8589869056,

137438691328,

2305843008139952128,

2658455991569831744654692615953842176,

191561942608236107294793378084303638130997321548169216,

 

131640364585696483372397534604587229102234723183869431

17783728128,

 

144740111546645244279463731260859884815736774914748358

89066354349131199152128,

 

2356272345726734706578954899670990498847754785839260071014302

7597506337283178622239730365539602600561360255566462503270175

0528925780432155433824984287771524270103944969186640286445341

2803383143979023683862403317143592235664321970310172071316352

7487298747400647801939587165936401087419375649057918549492160

555646976,

 

1410537837067120690632079580860631898814867435147156678388386

7599995486774265238011410419332903769025156195056870982932716

4087724366370087116731268159313652487450652439805877296207297

4467232951666582288469268077866528701889208678794514783645693

1392206037069506473607357237869517647305526682625328488638371

5072974324463835300053138429460296575143368065570759537328128,

 

5416252628436584741265446537439131614085649053903169578460392

0818387206994158534859198999921056719921919057390080263646159

2800138276054397462627889030573034455058270283951394752077690

4492443149486172943511312628083790493046274068171796046586734

8720992572190569465545299629919823431031092624244463547789635

4414813917198164416055867880921478866773213987566616247145517

2696430221755428178425481731961195165985555357393778892340514

6222324506715979193757372820860878214322052227584537552897476

2561793951766244263144803134469350852036575847982475360211728

8040378304860287362125931378999490033667394150374722496698402

8240806042108690077670395259231894666273615212775603535764707

9522501738583051710286030212348966478513639499289049732921451

07505979911456221519899345764984291328,

 

 

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