The number 11033
11033 is a composite number with 8 divisors. Its prime factorisation is 11 × 17 × 59. Divisors (8): 1, 11, 17, 59, 187, 649, 1003, 11033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11033 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11033 is composite. Its prime factorisation is
- 3
The divisors add up to 12960; without 11033 itself that is 1927, so 11033 is deficient (1927 is less than 11033). Euler's totient φ(11033) = 9280 numbers up to 11033 share no factor with it.
- 4
The digits of 11033 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11033 = 11 \times 17 \times 59 \]
11033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12960 |
| Euler totient φ(n) | 9280 |
| Square | 121727089 |
| Cube | 1343014972937 |
| Square root | 105.038088 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.1033 × |
11033 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and thirty-three |
| Binary (base 2) | 10101100011001 |
| Octal (base 8) | 25431 |
| Hexadecimal (base 16) | 2B19 |
| Base 3 | 120010122 |
| As time | 11033 seconds = 3 h 3 min 53 s |
Is 11033 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 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 | No (remainder 1) | 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 (11033 ÷ 11 = 1003) | 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 11033 a prime number?
No. 11033 = 11 × 17 × 59, so it is divisible by 11.
What are the factors of 11033?
1, 11, 17, 59, 187, 649, 1003, 11033.
What is 11033 in binary?
10101100011001 (hexadecimal 2B19, octal 25431).
What is the square root of 11033?
About 105.0381.
Is 11033 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 11033?
It is a composite number with 8 divisors.