# 1093 (number)

 ← 1092 1093 1094 →
Cardinal one thousand ninety-three
Ordinal 1093rd
(one thousand ninety-third)
Factorization prime
Prime yes
Divisors 1, 1093
Greek numeral ,ΑϞΓ´
Roman numeral MXCIII
Binary 100010001012
Ternary 11111113
Quaternary 1010114
Quinary 133335
Senary 50216
Octal 21058
Duodecimal 77112
Vigesimal 2ED20
Base 36 UD36

1093 is the natural number following 1092 and preceding 1094.

1093 is a prime number. Together with 1091 and 1097, it forms a prime triplet, it is a happy prime and a star prime. It is also the smallest Wieferich prime. 1093 is a repunit prime in base 3 because:

${\displaystyle 1093=1111111_{3}=3^{6}+3^{5}+3^{4}+3^{3}+3^{2}+3^{1}+3^{0}={\frac {3^{7}-1}{2}}\,.}$