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197 (number)

From Wikipedia, the free encyclopedia

Natural number

197

←190 191 192 193 194 195 196 197 198 199 →

←0 100 200 300 400 500 600 700 800 900 →

one hundred ninety-seven

197th
(one hundred ninety-seventh)

45th

ΡϞΖ´

CXCVII,cxcvii

11000101₂

21022₃

525₆

305₈

145₁₂

C5₁₆

197 (one hundred [and] ninety-seven) is thenatural number following196 and preceding198.

In mathematics

197 is aprime number, the third of aprime quadruplet: 191, 193, 197, 199
197 is the smallestprime number that is the sum of seven consecutive primes: 17 + 19 + 23 + 29 + 31 + 37 + 41, and is the sum of the first twelve prime numbers: 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37
197 is acentered heptagonal number, acentered figurate number that represents aheptagon with a dot in the center and all other dots surrounding the center dot in successiveheptagonal layers
197 is aSchröder–Hipparchus number, counting for instance the number of ways of subdividing aheptagon by a non-crossing set of its diagonals.^[1]

See also

All pages with titles containing197

References

^Sloane, N. J. A. (ed.)."Sequence A001003 (Schroeder's second problem (generalized parentheses); also called super-Catalan numbers or little Schroeder numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.

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