Cyclical Number

Cyclical Number

A number whose digits can create related patterns. Notice the digits 3, 6, and 9 (and 0) are absent.

Example

 * {| border="1" bordercolor="#000000" cellpadding="8" cellspacing="0" width="417"

Number Quotient Cycle 1 ÷ 7 .142857142857142857… 142857 2 ÷ 7 .285714285714285714… 285714 3 ÷ 7 .428571428571428571… 428571 4 ÷ 7 .571428571428571428… 571428 5 ÷ 7 .714285714285714285… 714285 6 ÷ 7 .857142857142857142… 857142 8 ÷ 7 1.142857142857142857… 142857 <p align="CENTER">9 ÷ 7 1.285714285714285714… <p align="CENTER">285714
 * - valign="TOP"
 * height="25" width="69"|
 * width="218"|
 * width="80"|
 * - valign="TOP"
 * height="26" width="69"|
 * width="218"|
 * width="80"|
 * - valign="TOP"
 * height="27" width="69"|
 * width="218"|
 * width="80"|
 * - valign="TOP"
 * height="26" width="69"|
 * width="218"|
 * width="80"|
 * - valign="TOP"
 * height="27" width="69"|
 * width="218"|
 * width="80"|
 * - valign="TOP"
 * height="26" width="69"|
 * width="218"|
 * width="80"|
 * - valign="TOP"
 * height="27" width="69"|
 * width="218"|
 * width="80"|
 * - valign="TOP"
 * height="27" width="69"|
 * width="218"|
 * width="80"|
 * - valign="TOP"
 * height="26" width="69"|
 * width="218"|
 * width="80"|
 * }

Also notice the pattern using multiplication:


 * 142857 × 1 = 142857
 * 142857 × 2 = 285714
 * 142857 × 3 = 428571
 * 142857 × 4 = 571428
 * 142857 × 5 = 714285
 * 142857 × 6 = 857142