The number 1124
1124 is a composite number with 6 divisors. Its prime factorisation is × 281. Divisors (6): 1, 2, 4, 281, 562, 1124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1124 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1124 is composite. Its prime factorisation is
- 3
The divisors add up to 1974; without 1124 itself that is 850, so 1124 is deficient (850 is less than 1124). Euler's totient φ(1124) = 560 numbers up to 1124 share no factor with it.
- 4
The digits of 1124 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1124 = 2^{2} \times 281 \]1124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1974 |
| Euler totient φ(n) | 560 |
| Square | 1263376 |
| Cube | 1420034624 |
| Square root | 33.526109 (= 2√281) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 44 |
| Scientific notation | 1.124 × |
1124 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and twenty-four |
| Roman numerals | MCXXIV |
| Binary (base 2) | 10001100100 |
| Octal (base 8) | 2144 |
| Hexadecimal (base 16) | 464 |
| Base 3 | 1112122 |
| As time | 1124 seconds = 18 min 44 s |
Is 1124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1124 ÷ 2 = 562) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1124 ÷ 4 = 281) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1124 a prime number?
No. 1124 = × 281, so it is divisible by 2.
What are the factors of 1124?
1, 2, 4, 281, 562, 1124.
What is 1124 in binary?
10001100100 (hexadecimal 464, octal 2144).
What is the square root of 1124?
About 33.5261, exactly 2√281.
What is 1124 in Roman numerals?
MCXXIV.
Is 1124 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1124?
It is a composite number with 6 divisors.