The number 1134
1134 is a composite number with 20 divisors. Its prime factorisation is 2 × × 7. Divisors (20): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162 … 1134.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1134: a Harshad number: divisible by its digit sum 9.
- 2
1134 is composite. Its prime factorisation is
- 3
The divisors add up to 2904; without 1134 itself that is 1770, so 1134 is abundant (1770 is more than 1134). Euler's totient φ(1134) = 324 numbers up to 1134 share no factor with it.
- 4
The digits of 1134 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1134 = 2 \times 3^{4} \times 7 \]1134 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 2904 |
| Euler totient φ(n) | 324 |
| Square | 1285956 |
| Cube | 1458274104 |
| Square root | 33.674916 (= 9√14) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 62 |
| Scientific notation | 1.134 × |
1134 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and thirty-four |
| Roman numerals | MCXXXIV |
| Binary (base 2) | 10001101110 |
| Octal (base 8) | 2156 |
| Hexadecimal (base 16) | 46E |
| Base 3 | 1120000 |
| As time | 1134 seconds = 18 min 54 s |
Is 1134 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1134 ÷ 2 = 567) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1134 ÷ 3 = 378) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (1134 ÷ 6 = 189) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1134 ÷ 7 = 162) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1134 ÷ 9 = 126) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1134 a prime number?
No. 1134 = 2 × × 7, so it is divisible by 2.
What are the factors of 1134?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 378, 567, 1134.
What is 1134 in binary?
10001101110 (hexadecimal 46E, octal 2156).
What is the square root of 1134?
About 33.6749, exactly 9√14.
What is 1134 in Roman numerals?
MCXXXIV.
Is 1134 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 1134?
1134 is a Harshad number: divisible by its digit sum 9.