196 (number)
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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, a heptagonal pyramidal number, and a pentagonal pyramidal number.
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| Cardinal | One hundred [and] ninety-six |
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| Ordinal | 196th | ||
| Factorization |  |
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| Roman numeral | CXCVI | ||
| Binary | 11000100 | ||
| Hexadecimal | C4 | ||
196 is also the second number n for which the sum of the prime factors of 2n-1 is twice the sum of the prime factors of ½n+1.
Since it is possible to find sequences of 196 consecutive integers such that each inner member 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 lowest Lychrel number, or the lowest number which is not known to produce a palindromic 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.
[edit] In other fields
- Interstate 196 is a long spur route of Interstate 96 in Michigan.
- The year 196.
[edit] References
- Wells, D. (1987). The Penguin Dictionary of Curious and Interesting Numbers (pp. 142 - 143). London: Penguin Group.
[edit] External links
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