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2032 = number of binary Lyndon words of length 16 with an even number of 1's [25] 2033 = number of rooted trees with 9 nodes and a single labeled node [26] 2034 = number of unlabeled graphs on 11 nodes whose components are unicyclic graphs [27] 2035 – Wolstenholme number [28] 2036 – Eulerian number [29] 2039 – Sophie Germain prime, safe ...
A number where some but not all prime factors have multiplicity above 1 is neither square-free nor squareful. The Liouville function λ(n) is 1 if Ω(n) is even, and is -1 if Ω(n) is odd. The Möbius function μ(n) is 0 if n is not square-free. Otherwise μ(n) is 1 if Ω(n) is even, and is −1 if Ω(n) is odd.
Mersenne primes and perfect numbers are two deeply interlinked types of natural numbers in number theory. Mersenne primes, named after the friar Marin Mersenne, are prime numbers that can be expressed as 2 p − 1 for some positive integer p. For example, 3 is a Mersenne prime as it is a prime number and is expressible as 2 2 − 1.
Hyphenate all numbers under 100 that need more than one word. For example, $73 is written as “seventy-three,” and the words for $43.50 are “Forty-three and 50/100.”
Numzi - free web application for converting numbers to words/phrases and vice versa using the Major System. Covers the English language with over 220,000 words. Numzi also has an iOS app which is a portable Major System number-word converter. 2Know is free Windows software for converting numbers to words (English, German, French).
A doubly even number is an integer that is divisible more than once by 2; it is even and its quotient by 2 is also even. The separate consideration of oddly and evenly even numbers is useful in many parts of mathematics, especially in number theory, combinatorics , coding theory (see even codes ), among others.
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