The number 9033
9033 is a composite number with 4 divisors. Its prime factorisation is 3 × 3011. Divisors (4): 1, 3, 3011, 9033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9033: a semiprime: 3 × 3011, the product of two primes.
- 2
9033 is composite. Its prime factorisation is
- 3
The divisors add up to 12048; without 9033 itself that is 3015, so 9033 is deficient (3015 is less than 9033). Euler's totient φ(9033) = 6020 numbers up to 9033 share no factor with it.
- 4
The digits of 9033 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9033 = 3 \times 3011 \]
9033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12048 |
| Euler totient φ(n) | 6020 |
| Square | 81595089 |
| Cube | 737048438937 |
| Square root | 95.042096 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.033 × |
9033 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and thirty-three |
| Binary (base 2) | 10001101001001 |
| Octal (base 8) | 21511 |
| Hexadecimal (base 16) | 2349 |
| Base 3 | 110101120 |
| As time | 9033 seconds = 2 h 30 min 33 s |
Is 9033 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 | Yes (9033 ÷ 3 = 3011) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9033 a prime number?
No. 9033 = 3 × 3011, so it is divisible by 3.
What are the factors of 9033?
1, 3, 3011, 9033.
What is 9033 in binary?
10001101001001 (hexadecimal 2349, octal 21511).
What is the square root of 9033?
About 95.0421.
Is 9033 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 9033?
9033 is a semiprime: 3 × 3011, the product of two primes.