The number 1184
1184 is a composite number with 12 divisors. Its prime factorisation is × 37. Divisors (12): 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1184: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1184 is composite. Its prime factorisation is
- 3
The divisors add up to 2394; without 1184 itself that is 1210, so 1184 is abundant (1210 is more than 1184). Euler's totient φ(1184) = 576 numbers up to 1184 share no factor with it.
- 4
The digits of 1184 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1184 = 2^{5} \times 37 \]1184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2394 |
| Euler totient φ(n) | 576 |
| Square | 1401856 |
| Cube | 1659797504 |
| Square root | 34.409301 (= 4√74) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 26 |
| Scientific notation | 1.184 × |
1184 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and eighty-four |
| Roman numerals | MCLXXXIV |
| Binary (base 2) | 10010100000 |
| Octal (base 8) | 2240 |
| Hexadecimal (base 16) | 4A0 |
| Base 3 | 1121212 |
| As time | 1184 seconds = 19 min 44 s |
Is 1184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1184 ÷ 2 = 592) | 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 (1184 ÷ 4 = 296) | 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 1) | 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 (1184 ÷ 8 = 148) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | 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 1184 a prime number?
No. 1184 = × 37, so it is divisible by 2.
What are the factors of 1184?
1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184.
What is 1184 in binary?
10010100000 (hexadecimal 4A0, octal 2240).
What is the square root of 1184?
About 34.4093, exactly 4√74.
What is 1184 in Roman numerals?
MCLXXXIV.
Is 1184 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1184?
1184 is a happy number: repeatedly adding the squares of its digits reaches 1.