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pseudoperfect number

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  • Primary pseudoperfect number — In mathematics, and particularly in number theory, a primary pseudoperfect number is a number N that satisfies the Egyptian fraction equation:sum {p|N}frac1p + frac1N = 1,where the sum is over only the prime divisors of N . Equivalently (as can… …   Wikipedia

  • 40000 (number) — Number number = 40000 range = 10000 100000 cardinal = 40000 ordinal = th ordinal text = thirty thousandth factorization = 2^6 cdot 5^4 bin = 1001110001000000 oct = 116100 hex = 9C4040,000 (forty thousand) is the number that comes after 39,999 and …   Wikipedia

  • Semiperfect number — In mathematics, a semiperfect number or pseudoperfect number is a natural number n that is equal to the sum of all or some of its proper divisors.The first few semiperfect numbers are:6, 12, 18, 20, 24, 28, 30, 36, 40, ... OEIS|id=A005835;every… …   Wikipedia

  • Primitive semiperfect number — In mathematics, a primitive semiperfect number (also called a primitive pseudoperfect number , irreducible semiperfect number or irreducible pseudoperfect number ) is a semiperfect natural number that has no semiperfect proper divisor.The first… …   Wikipedia

  • 1000 (number) — List of numbers Integers ← 1k 2k 3k 4k 5k 6k 7k 8k 9k → Cardinal 1000 one thousand …   Wikipedia

  • 42 (number) — ← 41 43 → 42 ← 40 41 42 43 44 45 46 …   Wikipedia

  • 1000000000 (number) — List of numbers – Integers 100000000 1000000000 10000000000 Cardinal One billion (short scale) One thousand million (long scale) Ordinal One billionth (short scale) Factorization 29 · 59 Binary 111011100110101100101000000000 He …   Wikipedia

  • Weird number — In mathematics, a weird number is a natural number that is abundant but not semiperfect. [cite journal last =Benkoski first =Stan authorlink = coauthors = title =E2308 (in Problems and Solutions) journal =The American Mathematical Monthly volume …   Wikipedia

  • Egyptian fraction — An Egyptian fraction is the sum of distinct unit fractions, such as frac{1}{2}+ frac{1}{3}+ frac{1}{16}. That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators… …   Wikipedia

  • Znám's problem — In number theory, Znám s problem asks which sets of k integers have the property that each integer in the set is a proper divisor of the product of the other integers in the set, plus 1. Znám s problem is named after the Slovak mathematician… …   Wikipedia

  • List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …   Wikipedia

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