The number 1143
1143 is a composite number with 6 divisors. Its prime factorisation is × 127. Divisors (6): 1, 3, 9, 127, 381, 1143.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1143: a Harshad number: divisible by its digit sum 9.
- 2
1143 is composite. Its prime factorisation is
- 3
The divisors add up to 1664; without 1143 itself that is 521, so 1143 is deficient (521 is less than 1143). Euler's totient φ(1143) = 756 numbers up to 1143 share no factor with it.
- 4
The digits of 1143 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1143 = 3^{2} \times 127 \]1143 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1664 |
| Euler totient φ(n) | 756 |
| Square | 1306449 |
| Cube | 1493271207 |
| Square root | 33.808283 (= 3√127) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 31 |
| Scientific notation | 1.143 × |
1143 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and forty-three |
| Roman numerals | MCXLIII |
| Binary (base 2) | 10001110111 |
| Octal (base 8) | 2167 |
| Hexadecimal (base 16) | 477 |
| Base 3 | 1120100 |
| As time | 1143 seconds = 19 min 3 s |
Is 1143 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1143 ÷ 3 = 381) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1143 ÷ 9 = 127) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1143 a prime number?
No. 1143 = × 127, so it is divisible by 3.
What are the factors of 1143?
1, 3, 9, 127, 381, 1143.
What is 1143 in binary?
10001110111 (hexadecimal 477, octal 2167).
What is the square root of 1143?
About 33.8083, exactly 3√127.
What is 1143 in Roman numerals?
MCXLIII.
Is 1143 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 1143?
1143 is a Harshad number: divisible by its digit sum 9.