| 词条 | 170 (number) |
| 释义 |
| number = 170 | divisor=1, 2, 5, 10, 17, 34, 85, 170 }} 170 (one hundred [and] seventy) is the natural number following 169 and preceding 171. In mathematics170 is the smallest n for which φ(n) and σ(n) are both square (64 and 324 respectively). But 170 is never a solution for φ(x), making it a nontotient. Nor is it ever a solution to x - φ(x), making it a noncototient. 170 is a repdigit in base 4 (2222) and base 16 (AA), as well as in bases 33, 84, and 169. It is also a sphenic number. 170 is the largest integer for which its factorial can be stored in double-precision floating-point format. This is probably why it is also the largest factorial that Google's built-in calculator will calculate, returning the answer as 170! = 7.25741562 × 10306. There are 170 different cyclic Gilbreath permutations on 12 elements,[1] and therefore there are 170 different real periodic points of order 12 on the Mandelbrot set.[2] In sports
See also
References1. ^{{Cite OEIS|sequencenumber=A000048}} 2. ^{{citation|title=Magical Mathematics: the mathematical ideas that animate great magic tricks|first1=Persi|last1=Diaconis|author1-link=Persi Diaconis|first2=Ron|last2=Graham|author2-link=Ronald Graham (mathematician)|publisher=Princeton University Press|year=2012|chapter=Chapter 5: From the Gilbreath Principle to the Mandelbrot Set|pages=61–83}}. 3. ^{{citation|title=The Caddie Was a Reindeer: And Other Tales of Extreme Recreation|first=Steve|last=Rushin|publisher=Grove Press|year=2007|isbn=9781555847333|page=79|url=https://books.google.com/books?id=6mSlZuuQ6lIC&pg=PA79}}. External links{{Commons cat|170 (number)}}
1 : Integers |
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