1093 (number)

Natural number
← 1092 1093 1094 →
  • List of numbers
  • Integers
← 0 1k 2k 3k 4k 5k 6k 7k 8k 9k →
Cardinalone thousand ninety-three
Ordinal1093rd
(one thousand ninety-third)
Factorizationprime
Primeyes
Divisors1, 1093
Greek numeral,ΑϞΓ´
Roman numeralMXCIII
Binary100010001012
Ternary11111113
Senary50216
Octal21058
Duodecimal77112
Hexadecimal44516

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:

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

References

  • Die Welt der Primzahlen p. 237
  • [1] p. 240
  • Meine Zahlen, meine Freunde p. 223
  • The Number 1093
  • Number Gossip: 1093
  • Prime Curios!: 1093