Number theory | Permutations

Cyclic number

A cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely known is the six-digit number 142857, whose first six integer multiples are 142857 × 1 = 142857142857 × 2 = 285714142857 × 3 = 428571142857 × 4 = 571428142857 × 5 = 714285142857 × 6 = 857142 (Wikipedia).

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From playlist ALGEBRA CH 6 FACTORING

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Artin's conjecture on primitive roots | Binary number | Hexadecimal | Senary | Full reptend prime | Primitive root modulo n | Cyclic permutation | Fermat's little theorem | Quinary | Fermat quotient | Ternary numeral system | Long division | Integer | Quaternary numeral system | Modulo operation | Vigesimal | Divisor | Algebraic number theory | Repeating decimal | Octal | Prime number | Radix | Decimal | Square number | Algorithm | Remainder | Duodecimal | Parasitic number