1093 (number)

← 1092 1093 1094 →
List of numbers; Integers; ← 0 1k 2k 3k 4k 5k 6k 7k 8k 9k →
Cardinal	one thousand ninety-three
Ordinal	1093rd; (one thousand ninety-third)
Factorization	prime
Prime	yes
Divisors	1, 1093
Greek numeral	,ΑϞΓ´
Roman numeral	MXCIII, mxciii
Binary	100010001012
Ternary	11111113
Senary	50216
Octal	21058
Duodecimal	77112
Hexadecimal	44516

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}={\frac {3^{7}-1}{2}}\,.

References

Ribenboim, Paulo (2006-09-21). Die Welt Der Primzahlen (in German). Springer Berlin Heidelberg. ISBN 978-3-540-34284-7. p. 237
"Ribenboim - Die Welt der Primzahlen". web.archive.org. 2012-11-06. Retrieved 2024-12-29. p. 240
Ribenboim, Paulo (2009-02-18). Meine Zahlen, meine Freunde (in German). Springer Berlin Heidelberg. ISBN 978-3-540-87957-2. p. 223
"The Number 1093: Properties and Meanings". www.virtuescience.com. Retrieved 2024-12-29.
"Number Gossip: 1093". www.numbergossip.com. Retrieved 2024-12-29.
"Prime Curios! 1093". t5k.org. Retrieved 2024-12-29.