199 (number)

From Wikipedia, the free encyclopedia
← 198 199 200 →
190 191 192 193 194 195 196 197 198 199
List of numbersIntegers
0 100 200 300 400 500 600 700 800 900
Cardinalone hundred ninety-nine
Ordinal199th
(one hundred ninety-ninth)
Factorizationprime
Prime46th
Greek numeralΡϞΘ´
Roman numeralCXCIX
Binary110001112
Ternary211013
Octal3078
Duodecimal14712
HexadecimalC716

199 (one hundred [and] ninety-nine) is the natural number following 198 and preceding 200.

In mathematics[]

  • 199 is the 46th prime number
  • 199 is an odd number
  • 199 is a centered triangular number
  • 199 is a centered 33-gonal number
  • 199 is a deficient number, as its aliquot sum, 1, is less than 199
  • 199 is a Lucas number
    • 199 is a Chen prime
    • 199 is a permutable prime which can have its digits switched, and create another prime number (991)
    • 199 is a twin prime with 197
    • 199 is the sum of three consecutive primes: 61 + 67 + 71
    • 199 is the sum of five consecutive primes: 31 + 37 + 41 + 43 + 47
    • 199 is the fourth part of a prime quadruplet: 191, 193, 197, 199
  • 199 is a square-free number
  • 199 is an odious number
  • 199 is the smallest natural number that takes more than two revolutions to get a Full Digital Root. Dt(199) = 1

  • 199 is the smallest positive integer d such that the imaginary quadratic field Q(d) has class number = 9.[1]
  • 199 is first prime number in a sequence of 10 consecutive prime numbers with common difference 210 (Tao and Green 2008; see R.Taschner "Die Farben der Quadratzahlen" p. 147) for k=10 the ten primes are 199+j*210; j=0 to 9; 199;199+210=409;409+210=619...1879+210=2089.

In geography[]

In movies[]

In transportation[]

  • London Buses route 199
  • Arado Ar 199 was a floatplane, a low-wing monoplane, designed in 1938, of which two prototypes were built

In TV and radio[]

In other fields[]

199 is also:

  • The year AD 199 or 199 BC
  • The atomic number of an element temporarily called Unennennium
  • Minuscule 199 is a Greek minuscule manuscript of the New Testament, on parchment
  • 199 Byblis is a large main belt asteroid

See also[]

References[]

  1. ^ "Tables of imaginary quadratic fields with small class number". numbertheory.org.

External links[]

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