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197 (number)

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Short description: Natural number
← 196 197 198 →
Cardinalone hundred ninety-seven
Ordinal197th
(one hundred ninety-seventh)
Factorizationprime
Prime45th
Greek numeralΡϞΖ´
Roman numeralCXCVII
Binary110001012
Ternary210223
Quaternary30114
Quinary12425
Senary5256
Octal3058
Duodecimal14512
HexadecimalC516
Vigesimal9H20
Base 365H36

197 (one hundred [and] ninety-seven) is the natural number following 196 and preceding 198.

In mathematics

  • 197 is a prime number, the third of a prime quadruplet: 191, 193, 197, 199
  • 197 is the smallest prime number that is the sum of 7 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 a centered heptagonal number, a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center dot in successive heptagonal layers
  • 197 is a Schröder–Hipparchus number, counting for instance the number of ways of subdividing a heptagon by a non-crossing set of its diagonals.[1]

In other fields

197 is also:

  • A police emergency telephone number in Tunisia
  • Number enquiry telephone number in Nepal
  • a song by Norwegian alternative rock group Major Parkinson from their self-titled debut album

See also

References

  1. ↑ Sloane, N. J. A., ed. "Sequence A001003 (Schroeder's second problem (generalized parentheses); also called super-Catalan numbers or little Schroeder numbers)". OEIS Foundation. https://oeis.org/A001003. 



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