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Brief facts about 8128:

8128 is the integer following 8127 and preceding 8129. It is most notable for being a perfect number, and one of the earliest numbers to be recognized as such. As a perfect number, it is tied to the Mersenne prime 127, 2⁷ – 1, with 2⁶ yielding 8128. Also related to its being a perfect number, 8128 is a harmonic divisor number. Another consequence of 8128 being a perfect number is that it has the same prime factors as the sum of its divisors, its cototient is a power of two, and it is a harmonic seed number. 8128 is the 127th triangular number, the 64th hexagonal number, a happy number, the eighth 292-gonal number, and the fourth 1356-gonal number, as well as the 43rd centered nonagonal number.

Integers