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Perfect number - Wikipedia, the free encyclopedia
In mathematics, a perfect number is defined as a positive integer which is the sum of its proper positive divisors, that is, the sum of the positive divisors excluding the number itself. Equivalentl...
en.wikipedia.org/wiki/Perfect_number |
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This may be hard to believe, but there are still more! In fact, there are 35 TOTAL!!! However, it would take too long to write them all out. All EVEN perfect numbers follow this form:
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Rank Number Digits Discoverer ... 5 212(213-1) 33550336 8 1456 ? ... For more information, please go directly to Chris K. Caldwell's excelent page on Mersenne Primes and Perfect Numbers.
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It is not known when perfect numbers were first studied and indeed the first studies may go back to the earliest times when numbers first aroused curiosity.
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Perfect Numbers and a Few Theorems ... You may have also noticed that the perfect numbers listed above (6, 28, 496, 8128) all end with either the digit 6 or the digit 8--this is also very easy to prove (but no, they do not continue to alternate 6, 8, 6, 8,...). If you like that digit pattern, look at the first four...
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Welcome to the Prime Glossary: a collection of definitions, information and facts all related to prime numbers. This pages contains the entry titled 'perfect number.' Come explore a new prime term today! ... One example is the perfect numbers, those integers which are the sum of their positive proper divisors.
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From Ivars Peterson's MathTrek column in MAA Online. Curious relationships satisfied by perfect numbers. ... There are far more defective and abundant numbers than perfect numbers. However, do abundant numbers actually outnumber defective numbers? I'm not sure.
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