In Mathematics
Fifty-eight has an aliquot sum of 32 and is the second composite member of the 83-aliquot tree.
Fifty-eight is the sum of the first seven prime numbers, an 11-gonal number, and a Smith number. Given 58, the Mertens function returns 0.
There is no solution to the equation x - φ(x) = 58, making 58 a noncototient. However, the sum of the totient function for the first thirteen integers is 58.
Read more about this topic: 58 (number)
Famous quotes containing the word mathematics:
“It is a monstrous thing to force a child to learn Latin or Greek or mathematics on the ground that they are an indispensable gymnastic for the mental powers. It would be monstrous even if it were true.”
—George Bernard Shaw (18561950)
“In mathematics he was greater
Than Tycho Brahe, or Erra Pater:
For he, by geometric scale,
Could take the size of pots of ale;
Resolve, by sines and tangents straight,
If bread and butter wanted weight;
And wisely tell what hour o th day
The clock doth strike, by algebra.”
—Samuel Butler (16121680)