A star number is a centered figurate number that represents a centered hexagram (six-pointed star), such as the one that Chinese checkers is played on.
| 1 | 13 | 37 | ||
|---|---|---|---|---|
The nth star number is given by the formula Sn = 6n(n − 1) + 1. The first 43 star numbers are
1, 13, 37, 73, 121, 181, 253, 337, 433, 541, 661, 793, 937, 1093, 1261, 1441, 1633, 1837, 2053, 2281, 2521, 2773, 3037, 3313, 3601, 3901, 4213, 4537, 4873, 5221, 5581, 5953, 6337, 6733, 7141, 7561, 7993, 8437, 8893, 9361, 9841, 10333, 10837 (sequence A003154 in OEIS).
The digital root of a star number is always 1 or 4, and progresses in the sequence 1, 4, 1. The last two digits of a star number in base 10 are always 01, 13, 21, 33, 37, 41, 53, 61, 73, 81, or 93.
Read more about Star Number: Relationships To Other Kinds of Numbers, Applications
Famous quotes containing the words star and/or number:
“The star is the ultimate American verification of Jean Jacques Rousseau’s Emile. His mere existence proves the perfectability of any man or woman. Oh wonderful pliability of human nature, in a society where anyone can become a celebrity! And where any celebrity ... may become a star!”
—Daniel J. Boorstin (b. 1914)
“I heartily wish you, in the plain home-spun style, a great number of happy new years, well employed in forming both your mind and your manners, to be useful and agreeable to yourself, your country, and your friends.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)