| ||||
---|---|---|---|---|
Cardinal | one thousand twenty-three | |||
Ordinal | 1023rd (one thousand twenty-third) | |||
Factorization | 3 × 11 × 31 | |||
Divisors | 1, 3, 11, 31, 33, 93, 341, 1023 | |||
Greek numeral | ,ΑΚΓ´ | |||
Roman numeral | MXXIII | |||
Binary | 11111111112 | |||
Ternary | 11012203 | |||
Senary | 44236 | |||
Octal | 17778 | |||
Duodecimal | 71312 | |||
Hexadecimal | 3FF16 |
1023 (one thousand [and] twenty-three) is the natural number following 1022 and preceding 1024.
1023 is the tenth non-trivial Mersenne number of the form . [1] In binary, it is also the tenth repdigit 11111111112 as all Mersenne numbers in decimal are repdigits in binary.
As a Mersenne number, it is the first non-unitary member of the eleventh row (left to right) in the triangle of Stirling partition numbers [2]
that appears opposite a triangular number (successively in each row), in its case 55.
It is equal to the sum of five consecutive prime numbers: 193 + 197 + 199 + 211 + 223. [3]
It is equal to the sum of the squares of the first seven consecutive odd prime numbers: 32 + 52 + 72 + 112 + 132 + 172 + 192. [4]
It is the number of three-dimensional polycubes with seven cells. [5]
1023 is the number of elements in the 9-simplex, as well as the number of uniform polytopes in the tenth-dimensional hypercubic family , and the number of noncompact solutions in the family of paracompact honeycombs that shares symmetries with .
Floating-point units in computers often run a IEEE 754 64-bit, floating-point excess-1023 format in 11-bit binary. In this format, also called binary64, the exponent of a floating-point number (e.g. 1.009001 E1031) appears as an unsigned binary integer from 0 to 2047, where subtracting 1023 from it gives the actual signed value.
1023 is the number of dimensions or length of messages of an error-correcting Reed-Muller code made of 64 block codes. [6]
The Global Positioning System (GPS) works on a ten-digit binary counter that runs for 1023 weeks, at which point an integer overflow causes its internal value to roll over to zero again.
1023 being , is the maximum number that a 10-bit ADC converter can return when measuring the highest voltage in range.
| ||||
---|---|---|---|---|
Cardinal | one thousand twenty-three | |||
Ordinal | 1023rd (one thousand twenty-third) | |||
Factorization | 3 × 11 × 31 | |||
Divisors | 1, 3, 11, 31, 33, 93, 341, 1023 | |||
Greek numeral | ,ΑΚΓ´ | |||
Roman numeral | MXXIII | |||
Binary | 11111111112 | |||
Ternary | 11012203 | |||
Senary | 44236 | |||
Octal | 17778 | |||
Duodecimal | 71312 | |||
Hexadecimal | 3FF16 |
1023 (one thousand [and] twenty-three) is the natural number following 1022 and preceding 1024.
1023 is the tenth non-trivial Mersenne number of the form . [1] In binary, it is also the tenth repdigit 11111111112 as all Mersenne numbers in decimal are repdigits in binary.
As a Mersenne number, it is the first non-unitary member of the eleventh row (left to right) in the triangle of Stirling partition numbers [2]
that appears opposite a triangular number (successively in each row), in its case 55.
It is equal to the sum of five consecutive prime numbers: 193 + 197 + 199 + 211 + 223. [3]
It is equal to the sum of the squares of the first seven consecutive odd prime numbers: 32 + 52 + 72 + 112 + 132 + 172 + 192. [4]
It is the number of three-dimensional polycubes with seven cells. [5]
1023 is the number of elements in the 9-simplex, as well as the number of uniform polytopes in the tenth-dimensional hypercubic family , and the number of noncompact solutions in the family of paracompact honeycombs that shares symmetries with .
Floating-point units in computers often run a IEEE 754 64-bit, floating-point excess-1023 format in 11-bit binary. In this format, also called binary64, the exponent of a floating-point number (e.g. 1.009001 E1031) appears as an unsigned binary integer from 0 to 2047, where subtracting 1023 from it gives the actual signed value.
1023 is the number of dimensions or length of messages of an error-correcting Reed-Muller code made of 64 block codes. [6]
The Global Positioning System (GPS) works on a ten-digit binary counter that runs for 1023 weeks, at which point an integer overflow causes its internal value to roll over to zero again.
1023 being , is the maximum number that a 10-bit ADC converter can return when measuring the highest voltage in range.