Numbers 6900-6999

A page of the Numeropedia - the Special Encyclopedia of Numbers

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6,903

[Math.]  A triangular number (sum of integers from 1 to 117): 6903 = 1+2+…+116+117.

6,912

[Math.]  6912 = 21×42×63 = 6×9×1×27.

6,918

[Math.]  The equality 6918×3 = 20,754 uses each of 10 digits 0-9 once.

6,927

[Math.]  The ratio 13854/6927 = 2, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #2.

6,930

[Math.]  A pyramidal number (sum of all squares of integers from 1 to 27): 6930 = 12+22+…+262+272.

6,930

[Math.]  The 6th square number that is also a triangular number: 69302 = 1+2+…+9800 = 48,024,900. The nth root number is 6 times the (n–1)th root minus the (n–2)th root: 1, 62, 352, 2042, 11892

6,939

[Math.]  Two multiples of number 6939, 6939×3 = 20,817 and 6939×5 = 34,695, use each of 10 digits 0-9 once.

6,939.6

[Calendar]  On average, 19 solar years (228 solar months) is almost exactly 235 lunar months: 19´365.2422 = 6939.6018 and 235´29.53 = 6939.55,  (but also given as 6939.6884 months). It is called Metonic cycle, when all the phases of waxing and waning moon fall on the same days of the weeks for the whole solar year.

6,941

[Math.]  69412 = 48,177,481.

6,951

[Math.]  11,093,796 = 3972×2793 = 6951×1596.

6,952

[Math.]  6952 = 4×1738, using each of 9 digits 1-9 once.

6,953

[Math.]  6953 = 66+999+5555+333.

6,997

[Math.]  The 900th prime number.