DavesFunStuff MegaBirthdays Contact Hide My IP Amazon Instant Video Donate Cash Webhosting Electronics



You are at the section Fun With Math

Perfect Numbers

A Perfect Number is 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.

If 2n-1 is a prime number, then 2(n-1)(2n-1) is a perfect number

6, 1, 2, 3

28, 1, 2, 14, 4, 7

496, 1, 2, 248, 4, 124, 8, 62, 16, 31

8128, 1, 2, 4064, 4, 2032, 8, 1016, 16, 508, 32, 254, 64, 127

33,550,336

8,589,869,056

Next number has 37 digits!


Note that
28 = 13 + 33

496 = 13 + 33 + 53 + 73

8128 = 13 + 33 + 53 + 73 + 93 + 113 + 133 + 153

would the next perfect number be
equal to this...

???? = 13 + 33 + 53 + 73 + 93 + 113 + 133 + 153
     + 173 + 193 + 213 + 233 + 253 + 273 + 293 + 313


And then this number?

???? = 13 + 33 + 53 + 73 + 93 + 113 + 133 + 153
     + 173 + 193 + 213 + 233 + 253 + 273 + 293 + 313
     + 333 + 353 + 373 + 393 + 413 + 433 + 453 + 473
     + 493 + 513 + 533 + 553 + 573 + 593 + 613 + 633
Menu: Fun With Math Main Page Units and Prefixes Really Big Number Names Numeric Terms Glossary Proposed New Digits For Base 12, 16, 20 Systems Base Names Formulas: Geometry Number Series Perfect Numbers-definition Perfect Numbers Hexadecimal Math Table 0-10 + 0-10 and 0-10 x 0-10 Hex Decimal Integer Conversion Table How To Compute The Square Root Roman Numerals Binary Math Table Roman Numeral Math Tables What's 13 times 7? Prove That 1 = 2 Number Tricks It's Impossible Pi In Your Face Wind Chill Factor Relative Heat Index Computerized Long Form Math Fractional Tables: Addition Fractional Tables: Multiplication
Related: Fun With Math-General Stuff Fun With Math-All About The Numbers Fun With Math-2-D Addition Tables Fun With Math-2-D Multiplication Tables Fun With Math-Division Tables with Remainders Fun With Math-Powers and Roots of 2 and 3 Fun With Math-n to the kth Power Fun With Math-Perfect Right Angles Fun With Math-Right Angle Addition Tables - 2D Fun With Math-Factorials Fun With Math-Triangulars Fun With Math-Least Common Multiples Fun With Math-Greatest Common Denominator Fun With Math-Prime Numbers Fun With Math-Factors of Each Number Fun With Math-Prime Factors of Each Number Fun With Math-Decimal to Hexadecimal Conversion Fun With Math-Hexadecimal Addition Tables Fun With Math-Hexadecimal Multiplication Tables
Market Zone: Amazon Electronics Hide My IP Data Storage Batteries TV Shows Video Games Groceries Amazon Instant Video Western Movies/TV Smartphones TV Sets Animated Video Science Fiction Music Downloads Cookbooks Comedy Video WiFi Radio Software
TV Zone: Star Wars Star Trek CSI NCIS Buffy the Vampire Slayer Seinfeld Eight is Enough M*A*S*H Cheers Married...With Children Sabrina the Teenage Witch Game of Thrones House of Cards Big Bang Theory Veep Everybody Loves Raymond South Park Doctor Who Batman
Notable: The Del: Dave's Entertainment Library! Cartoons Comedians Television Celebrities a2z Musicians Hit Song Titles Dave's Fun Stuff Radio Stuff! SDN Media Blog Website Hosting Donate Cash
Footer: Dave's Fun Stuff Mega Birthdays Contact Webmaster
Support This Site:


Surf Anonymously with HideMyIP!
Check Out Hide My IP.
Price: $29.95 USD



more information

© 1995-2017. davesfunstuff.com All Rights Reserved. Reproduction of any part of this website without expressed written consent is prohibited.