1093 (number)

	List of numbers — Integers ← 0 [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}{{{factor}}}1000}} (number)\|{{#ifeq:{{{1}}}\|10\|→\|{{#expr:{{{1}}}{{{factor}}}}}k}}]]
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:

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

References

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