In Mathematics
126 is a pentagonal pyramidal number, and a decagonal number as well as a pentatope number.
It is an abundant number. It is the fifth Granville number, and the third such not to be a perfect number. Also, it is known to be the smallest Granville number with three distinct prime factors, and perhaps the only such Granville number.
125 and 126 form a Ruth-Aaron pair under the second definition in which repeated prime factors are counted as often as they occur.
In base 10, is is a Harshad number as well as a Friedman number, since 126 = 6 × 21.
On the standard 3x3 Rubik's Cube, starting from the original set position, the basic algorithm of alternating top rotation- side rotation will return the cube to its original state in 126 moves.
126 is a binomial coefficient:
Read more about this topic: 126 (number)
Famous quotes containing the word mathematics:
“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)