199 (number)

← 198 199 200 →
← 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-nine
Ordinal	199th; (one hundred ninety-ninth)
Factorization	prime
Prime	46th
Greek numeral	ΡϞΘ´
Roman numeral	CXCIX
Binary	110001112
Ternary	211013
Senary	5316
Octal	3078
Duodecimal	14712
Hexadecimal	C716

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

In mathematics

199 is a centered triangular number.^[1]

It is a prime number and the fourth part of a prime quadruplet: 191, 193, 197, 199.^[2]

199 is the smallest natural number that takes more than two iterations to compute its digital root as a repeated digit sum: ${\begin{aligned}199&\mapsto 1+9+9=19\\&\mapsto 1+9=10\\&\mapsto 1+0=1.\end{aligned}}$ Thus, its additive persistence is three, and it is the smallest number of persistence three.^[3]

References

^ Sloane, N. J. A. (ed.). "Sequence A005448 (Centered triangular numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^ Sloane, N. J. A. (ed.). "Sequence A136162 (List of prime quadruplets)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^ Sloane, N. J. A. (ed.). "Sequence A006050 (Smallest number of additive persistence n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

[1] Sloane, N. J. A. (ed.). "Sequence A005448 (Centered triangular numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

[2] Sloane, N. J. A. (ed.). "Sequence A136162 (List of prime quadruplets)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

[3] Sloane, N. J. A. (ed.). "Sequence A006050 (Smallest number of additive persistence n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

[1]

[2]

[3]

In mathematics

See also

References