197 (number)

← 196 197 198 →
← 190 191 192 193 194 195 196 197 198 199 → List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred ninety-seven
Ordinal	197th (one hundred ninety-seventh)
Factorization	prime
Prime	45th
Greek numeral	ΡϞΖ´
Roman numeral	CXCVII, cxcvii
Binary	110001012
Ternary	210223
Senary	5256
Octal	3058
Duodecimal	14512
Hexadecimal	C516

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 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 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]

See also

• All pages with titles containing 197

References

1. Sloane, N. J. A. (ed.). "SequenceA001003(Schroeder's second problem (generalized parentheses); also called super-Catalan numbers or little Schroeder numbers)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.