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199 (number)

From Wikipedia, the free encyclopedia
Natural number
← 198199 200 →
Cardinalone hundred ninety-nine
Ordinal199th
(one hundred ninety-ninth)
Factorizationprime
Prime46th
Greek numeralΡϞΘ´
Roman numeralCXCIX,cxcix
Binary110001112
Ternary211013
Senary5316
Octal3078
Duodecimal14712
HexadecimalC716


199 (one hundred [and] ninety-nine) is thenatural number following198 and preceding200.

In mathematics

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It is aprime number and the fourth part of aprime quadruplet:191,193,197, 199.[1]

199 is the smallest natural number that takes more than two iterations to compute itsdigital root as a repeated digit sum:199↦1+9+9=19↦1+9=10↦1+0=1.{\displaystyle {\begin{aligned}199&\mapsto 1+9+9=19\\&\mapsto 1+9=10\\&\mapsto 1+0=1.\end{aligned}}}Thus, itsadditive persistence is three, and it is the smallest number of persistence three.[2]

See also

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References

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  1. ^Sloane, N. J. A. (ed.)."Sequence A136162 (List of prime quadruplets)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^Sloane, N. J. A. (ed.)."Sequence A006050 (Smallest number of additive persistence n)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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