The number 1144
1144 is a composite number with 16 divisors. Its prime factorisation is × 11 × 13. Divisors (16): 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1144 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1144 is composite. Its prime factorisation is
- 3
The divisors add up to 2520; without 1144 itself that is 1376, so 1144 is abundant (1376 is more than 1144). Euler's totient φ(1144) = 480 numbers up to 1144 share no factor with it.
- 4
The digits of 1144 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1144 = 2^{3} \times 11 \times 13 \]1144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 2520 |
| Euler totient φ(n) | 480 |
| Square | 1308736 |
| Cube | 1497193984 |
| Square root | 33.823069 (= 2√286) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 106 |
| Scientific notation | 1.144 × |
1144 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and forty-four |
| Roman numerals | MCXLIV |
| Binary (base 2) | 10001111000 |
| Octal (base 8) | 2170 |
| Hexadecimal (base 16) | 478 |
| Base 3 | 1120101 |
| As time | 1144 seconds = 19 min 4 s |
Is 1144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1144 ÷ 2 = 572) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1144 ÷ 4 = 286) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (1144 ÷ 8 = 143) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (1144 ÷ 11 = 104) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1144 a prime number?
No. 1144 = × 11 × 13, so it is divisible by 2.
What are the factors of 1144?
1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144.
What is 1144 in binary?
10001111000 (hexadecimal 478, octal 2170).
What is the square root of 1144?
About 33.8231, exactly 2√286.
What is 1144 in Roman numerals?
MCXLIV.
Is 1144 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1144?
It is a composite number with 16 divisors.