Tuesday, September 2, 2014

2708

2708 = 2 x 2 x 677.

2708 in base 6 has digits in the order 2, 0, 3, 1, then repeats 2 (A037725).

2708 in base 2 has exactly 10 runs (A043577): 101010010100.

2708 is a number n such that the three numbers n - 1, n + 3, and n + 5 are all prime (A144840).

2708 has a representation as a sum of two squares: 2708 = 22 + 522.

2708 is the number of partitions of 84 into distinct parts, where the difference between the number of odd parts and the number of even parts is 5 (A240141).


Source: OEIS