In Mathematics
96 is an octagonal number, a refactorable number and an untouchable number. Since it is a multiple of 6, it is a semiperfect number
96 is the fourth Granville number and the second non-perfect Granville number. The next Granville number is 126, the previous being 24.
The sum of Euler's totient function φ(x) over the first seventeen integers is 96.
Since it is possible to find sequences of 96 consecutive integers such that each inner member shares a factor with either the first or the last member, 96 is an Erdős–Woods number.
Every integer greater than 96 may be represented as a sum of distinct super-prime numbers.
Read more about this topic: 96 (number)
Famous quotes containing the word mathematics:
“... though mathematics may teach a man how to build a bridge, it is what the Scotch Universities call the humanities, that teach him to be civil and sweet-tempered.”
—Amelia E. Barr (1831–1919)
“Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.”
—Simone Weil (1909–1943)