Cannabaceae

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← 195 196 197 →
Cardinalone hundred ninety-six
Ordinal196th
(one hundred ninety-sixth)
Factorization22 × 72
Divisors1, 2, 4, 7, 14, 28, 49, 98, 196
Greek numeralΡϞϚ´
Roman numeralCXCVI
Binary110001002
Ternary210213
Senary5246
Octal3048
Duodecimal14412
HexadecimalC416

196 (one hundred [and] ninety-six) is the natural number following 195 and preceding 197.

In mathematics[edit]

196 is a square number, the square of 14. As the square of a Catalan number, it counts the number of walks of length 8 in the positive quadrant of the integer grid that start and end at the origin, moving diagonally at each step.[1] It is part of a sequence of square numbers beginning 0, 1, 4, 25, 196, ... in which each number is the smallest square that differs from the previous number by a triangular number.[2]

There are 196 one-sided heptominoes, the polyominoes made from 7 squares. Here, one-sided means that asymmetric polyominoes are considered to be distinct from their mirror images.[3]

A Lychrel number is a natural number which cannot form a palindromic number through the iterative process of repeatedly reversing its digits and adding the resulting numbers. 196 is the smallest number conjectured to be a Lychrel number in base 10; the process has been carried out for over a billion iterations without finding a palindrome, but no one has ever proven that it will never produce one.[4][5]

See also[edit]

References[edit]

  1. ^ Sloane, N. J. A. (ed.). "Sequence A001246 (Squares of Catalan numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A036449 (Values square, differences triangular)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A000988 (Number of one-sided polyominoes with n cells)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A023108 (A023108)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ Gabai, Hyman; Coogan, Daniel (1969). "On palindromes and palindromic primes". Mathematics Magazine. 42 (5): 252–254. doi:10.2307/2688705. JSTOR 2688705. MR 0253979.
source: https://en.wikipedia.org/wiki/196_(number)

One thought on “Cannabaceae”

  1. Well, that’s interesting to know that Psilotum nudum are known as whisk ferns. Psilotum nudum is the commoner species of the two. While the P. flaccidum is a rare species and is found in the tropical islands. Both the species are usually epiphytic in habit and grow upon tree ferns. These species may also be terrestrial and grow in humus or in the crevices of the rocks.
    View the detailed Guide of Psilotum nudum: Detailed Study Of Psilotum Nudum (Whisk Fern), Classification, Anatomy, Reproduction

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