1093 (number)
From HandWiki
Short description: Natural number
| ||||
|---|---|---|---|---|
| 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 | |||
| Hexadecimal | 44516 | |||
| 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:
- [math]\displaystyle{ 1093 = 1111111_3 = 3^6 + 3^5 + 3^4 + 3^3 + 3^2 + 3^1 + 3^0 = \frac{3^7-1}{2} \, . }[/math]
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
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