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In number theory, a narcissistic number [1] [2] (also known as a pluperfect digital invariant (PPDI), [3] an Armstrong number [4] (after Michael F. Armstrong) [5] or a plus perfect number) [6] in a given number base is a number that is the sum of its own digits each raised to the power of the number of digits.
This is a list of recreational number theory topics (see number theory, recreational mathematics). Listing here is not pejorative : many famous topics in number theory have origins in challenging problems posed purely for their own sake.
As 0 is always a zero-divisor, 0 and 1 are always fixed points of () =, and 0 and 1 are automorphic numbers in every base. These solutions are called trivial automorphic numbers . If b {\displaystyle b} is a prime power , then the ring of b {\displaystyle b} -adic numbers has no zero-divisors other than 0, so the only fixed points of f ( x ...
A number that is non-palindromic in all bases b in the range 2 ≤ b ≤ n − 2 can be called a strictly non-palindromic number. For example, the number 6 is written as "110" in base 2, "20" in base 3, and "12" in base 4, none of which are palindromes. All strictly non-palindromic numbers larger than 6 are prime.
It is not known if there are infinitely many palindromic primes in base 10. For any base, almost all palindromic numbers are composite, [2] i.e. the ratio between palindromic composites and all palindromes less than n tends to 1. A large example, 10 1888529 - 10 944264 - 1,
A standard drink is 12 ounces of a regular beer, 8 ounces of a malt liquor, 5 ounces of a glass of wine, and 1.5 ounces of a spirit, according to the Centers for Disease Control and Prevention.
The country's top doctor wants a new warning added to alcohol that would alert drinkers about links to cancer, but don't expect cigarette-style warning labels any time soon. U.S. Surgeon General ...
The garish red, blue and brown “V” sweater resembled the one that became Carnesecca's good-luck charm during St. John's 1984-85 Final Four season.