The number 1133
1133 is a composite number with 4 divisors. Its prime factorisation is 11 × 103. Divisors (4): 1, 11, 103, 1133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1133: a semiprime: 11 × 103, the product of two primes.
- 2
1133 is composite. Its prime factorisation is
- 3
The divisors add up to 1248; without 1133 itself that is 115, so 1133 is deficient (115 is less than 1133). Euler's totient φ(1133) = 1020 numbers up to 1133 share no factor with it.
- 4
The digits of 1133 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1133 = 11 \times 103 \]
1133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1248 |
| Euler totient φ(n) | 1020 |
| Square | 1283689 |
| Cube | 1454419637 |
| Square root | 33.660065 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 62 |
| Scientific notation | 1.133 × |
1133 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and thirty-three |
| Roman numerals | MCXXXIII |
| Binary (base 2) | 10001101101 |
| Octal (base 8) | 2155 |
| Hexadecimal (base 16) | 46D |
| Base 3 | 1112222 |
| As time | 1133 seconds = 18 min 53 s |
Is 1133 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (1133 ÷ 11 = 103) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1133 a prime number?
No. 1133 = 11 × 103, so it is divisible by 11.
What are the factors of 1133?
1, 11, 103, 1133.
What is 1133 in binary?
10001101101 (hexadecimal 46D, octal 2155).
What is the square root of 1133?
About 33.6601.
What is 1133 in Roman numerals?
MCXXXIII.
Is 1133 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1133?
1133 is a semiprime: 11 × 103, the product of two primes.