← 192 193 194 →
Cardinalone hundred ninety-three
Ordinal193rd
(one hundred ninety-third)
Factorizationprime
Prime44th
Divisors1, 193
Greek numeralΡϞΓ´
Roman numeralCXCIII
Binary110000012
Ternary210113
Senary5216
Octal3018
Duodecimal14112

193 (one hundred [and] ninety-three) is the natural number following 192 and preceding 194.

## In mathematics

193 is a prime number, and a Pierpont prime, implying that a 193-gon can be constructed using a compass, straightedge, and angle trisector.[1] It is the only odd prime ${\displaystyle p}$ known for which 2 is not a primitive root of ${\displaystyle 4p^{2}+1}$.[2] It is the number of compositions of 14 into distinct parts.[3] It is also part of the prime quadruplet (191, 193, 197, 199).