- 196 (number)
196 is a
natural number following 195 and preceding 197. It is the square of 14. In addition to being a square number, it is also an 11-gonal number, a 34-gonal number, aheptagonal pyramidal number , and apentagonal pyramidal number .196 is also the second number "n" for which the sum of the prime factors of 2"n"-1 is twice the sum of the prime factors of ½"n"+1.
Since it is possible to find sequences of 196 consecutive integers such that each inner member shares a factor with either the first or the last member, 196 is an
Erdős–Woods number .According to a
conjecture , 196 is the lowestLychrel number candidate, or the lowest number which is not known to produce apalindromic number by reversal and addition of the digits. For example, if you add 106 to the reverse of its digits, 601, you get 707, which is a palindrome. But with 196, you get 196 + 691 = 887, which is not a palindrome. Neither is 887 + 788 = 1675. This operation has been repeated almost 700 million times without finding a palindrome, but no one has ever proven that it will never produce one.In other fields
*
Interstate 196 is a long spur route ofInterstate 96 in Michigan.
*The year196 .References
* Wells, D. (1987). "The Penguin Dictionary of Curious and Interesting Numbers" (pp. 142 - 143). London: Penguin Group.
External links
* [http://www.p196.org 196 and Other Lychrel Numbers]
* [http://www.jasondoucette.com/worldrecords.html Jason Doucette - World Records, 196 Palindrome Quest]
Wikimedia Foundation. 2010.