A star number, or centered 12-gonal number, is a centered figurate number that represents a centered hexagram, such as the one that Chinese checkers are played on. The star numbers for n is given by the formula 6n(n - 1) + 1. The first few star numbers are Centred numbers are class of series of figurate numbers, each formed by a central dot, surrounded by polygonal layers with a constant number of sides. ... Jump to: navigation, search A figurate number is a number that can be represented as a regular and discrete geometric pattern (e. ... For other uses of the word hexagram, see Hexagram (currency) or Hexagram (I Ching). ... Jump to: navigation, search Chinese checkers Chinese checkers is a board game that can be played by two to six people. ...

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 Jump to: navigation, search Look up one on Wiktionary, the free dictionary. ... Jump to: navigation, search 13 (Thirteen) is the natural number following 12 and preceding 14. ... 37 is the natural number following 36 and preceding 38. ... 73 is the natural number following 72 and preceding 74. ... 121 is the natural number following 120 and preceding 122. ... 181 is the natural number between 180 and 182. ...

The digital root of a star number is always 1 or 4. The last two digits of a star number are always 01, 13, 21, 33, 37, 41, 53, 61, 73, 81, or 93. The digital root of a number is the number received by adding all the digits, then adding the digits of that number, and then continuing until a single-digit number is reached. ...

Not many star numbers are also triangular numbers. 1 and 253 are the only two such numbers in the list given above. A triangular number is a number that can be arranged in the shape of an equilateral triangle. ...

Not many star numbers are also square. 1 and 121 are the only two such numbers in the list given above. Square star numbers can be searched for with the Diophantine equation 2x² + 1 = 3y² In mathematics, a Diophantine equation is a polynomial equation that only allows the variables to be integers. ...

All star numbers can be constructed by multiplying a triangular number by 12 and adding one. A triangular number is a number that can be arranged in the shape of an equilateral triangle. ...

See also

• centered hexagonal number
• star prime