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So, 6 is a perfect number because the proper divisors of 6 are 1, 2, and 3, and 1 + 2 + 3 = 6. [2] [4] There is a one-to-one correspondence between the Mersenne primes and the even perfect numbers, but it is unknown whether there exist odd perfect numbers. This is due to the Euclid–Euler theorem, partially proved by Euclid and completed by ...
Notably, absent consensus, please do not add articles about individual perfect numbers themselves (such as 6). Pages in category "Perfect numbers" The following 11 pages are in this category, out of 11 total.
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number itself. For instance, 6 has proper divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number. The next perfect number is 28, since 1 + 2 + 4 + 7 + 14 = 28.
Perfect number; W. Williams number This page was last edited on 5 October 2021, at 03:38 (UTC). Text is available under the Creative Commons ... Code of Conduct;
Furthermore, 114,055,847 is the largest exponent below which all other prime exponents have been tested at least once, so all Mersenne numbers below the 51st (M 82589933) have been tested. [34] ^ ‡ The number M 136279841 has 41,024,320 decimal digits. To help visualize the size of this number, if it were to be saved to disk, the resulting ...
A semiperfect number that is not divisible by any smaller semiperfect number is called primitive. Every number of the form 2 m p for a natural number m and an odd prime number p such that p < 2 m+1 is also semiperfect. In particular, every number of the form 2 m (2 m+1 − 1) is semiperfect, and indeed perfect if 2 m+1 − 1 is a Mersenne prime.
The number of wheels on a Lockheed C-5 Galaxy. In the code for international direct dial phone calls, +28 is unassigned. 028 is the ISO 3166-1 numeric three-digit country code for Antigua and Barbuda. The number of days in the shortest month of the Gregorian calendar, February in common years. All twelve months of the Gregorian calendar have at ...
It is the number of four-digit perfect powers in decimal. [3] It is the third (or second) dodecahedral number, [4] and the sum of the first seven triangular numbers (1, 3, 6, 10, 15, 21, 28), which makes it the seventh tetrahedral number. [5] The number of divisors of 84 is 12. [6]