In Mathematics
86 is the 25th distinct semiprime and the 13th of the form (2.q). The aliquot sum of 86 is 46 within the aliquot sequence (86,46,26,16,15,9,4,3,1,0) 86 being the 17th composite number in the 3-aliquot tree.
86 is the middle number in the second cluster of three discrete semiprimes between 85 and 87 being themselves discrete semiprimes.
86 is a semiprime, nontotient, a noncototient, a happy number, and a self number. It appears in the Padovan sequence, preceded by the terms 37, 49, 65 (it is the sum of the first two of these).
Since it is possible to find sequences of 86 consecutive integers such that each inner member member shares a factor with either the first or the last member, 86 is an Erdős–Woods number.
86 is a repdigit in base 6 (222).
Read more about this topic: 86 (number)
Famous quotes containing the word mathematics:
“I must study politics and war that my sons may have liberty to study mathematics and philosophy.”
—John Adams (1735–1826)
“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)