Synopsis
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 26. Chapters: Palindromic number, Transposable integer, Happy number, Repunit, Narcissistic number, Harshad number, Self number, Automorphic number, Look-and-say sequence, Home prime, Friedman number, Polydivisible number, Pandigital number, Self-descriptive number, Vampire number, Kaprekar number, Parasitic number, Smith number, Palindromic prime, Circular prime, Sum-product number, Factorion, Truncatable prime, Dihedral prime, Permutable prime, Smarandache-Wellin number, Maris-McGwire-Sosa pair, Weakly prime number, Primeval number, Keith number, Minimal prime, Strobogrammatic prime, Strobogrammatic number, Frugal number, Emirp, Extravagant number, Repdigit, Dudeney number, Undulating number, Trimorphic number, Equidigital number. Excerpt: The digits of some specific integers permute or shift cyclically when they are multiplied by a number n. Examples are: These specific integers, known as transposable integers, can be but are not always cyclic numbers. The characterization of such numbers can be done using repeating decimals (and thus the related fractions), or directly. For any integer coprime to 10, its reciprocal is a repeating decimal without any non-recurring digits. E.g. = 0.006993... While the expression of a single series with vinculum on top is adequate, the intention of the above expression is to show that the six cyclic permutations of 006993 can be obtained from this repeating decimal if we select six consecutive digits from the repeating decimal starting from different digits. This illustrates that cyclic permutations are somehow related to repeating decimals and the corresponding fractions. The greatest common divisor (gcd) between any cyclic permutation of an m-digit integer and 10 − 1 is constant. Expressed as a formula, where N is an m-digit integer; and Nc is any cyclic permutation of N. For example, gcd(0915...
Reseña del editor
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 26. Chapters: Palindromic number, Transposable integer, Happy number, Repunit, Narcissistic number, Harshad number, Self number, Automorphic number, Look-and-say sequence, Home prime, Friedman number, Polydivisible number, Pandigital number, Self-descriptive number, Vampire number, Kaprekar number, Parasitic number, Smith number, Palindromic prime, Circular prime, Sum-product number, Factorion, Truncatable prime, Dihedral prime, Permutable prime, Smarandache-Wellin number, Maris-McGwire-Sosa pair, Weakly prime number, Primeval number, Keith number, Minimal prime, Strobogrammatic prime, Strobogrammatic number, Frugal number, Emirp, Extravagant number, Repdigit, Dudeney number, Undulating number, Trimorphic number, Equidigital number. Excerpt: The digits of some specific integers permute or shift cyclically when they are multiplied by a number n. Examples are: These specific integers, known as transposable integers, can be but are not always cyclic numbers. The characterization of such numbers can be done using repeating decimals (and thus the related fractions), or directly. For any integer coprime to 10, its reciprocal is a repeating decimal without any non-recurring digits. E.g. = 0.006993... While the expression of a single series with vinculum on top is adequate, the intention of the above expression is to show that the six cyclic permutations of 006993 can be obtained from this repeating decimal if we select six consecutive digits from the repeating decimal starting from different digits. This illustrates that cyclic permutations are somehow related to repeating decimals and the corresponding fractions. The greatest common divisor (gcd) between any cyclic permutation of an m-digit integer and 10 − 1 is constant. Expressed as a formula, where N is an m-digit integer; and Nc is any cyclic permutation of N. For example, gcd(0915...
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