The number 3033
3033 is a composite number with 6 divisors. Its prime factorisation is × 337. Divisors (6): 1, 3, 9, 337, 1011, 3033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3033: a Harshad number: divisible by its digit sum 9.
- 2
3033 is composite. Its prime factorisation is
- 3
The divisors add up to 4394; without 3033 itself that is 1361, so 3033 is deficient (1361 is less than 3033). Euler's totient φ(3033) = 2016 numbers up to 3033 share no factor with it.
- 4
The digits of 3033 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 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3033 = 3^{2} \times 337 \]3033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4394 |
| Euler totient φ(n) | 2016 |
| Square | 9199089 |
| Cube | 27900836937 |
| Square root | 55.072679 (= 3√337) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 22 |
| Scientific notation | 3.033 × |
3033 in other forms
| Form | Value |
|---|---|
| In words | three thousand and thirty-three |
| Roman numerals | MMMXXXIII |
| Binary (base 2) | 101111011001 |
| Octal (base 8) | 5731 |
| Hexadecimal (base 16) | BD9 |
| Base 3 | 11011100 |
| As time | 3033 seconds = 50 min 33 s |
Is 3033 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 (3033 ÷ 3 = 1011) | 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 2) | 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 | Yes (3033 ÷ 9 = 337) | 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 8) | 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 3033 a prime number?
No. 3033 = × 337, so it is divisible by 3.
What are the factors of 3033?
1, 3, 9, 337, 1011, 3033.
What is 3033 in binary?
101111011001 (hexadecimal BD9, octal 5731).
What is the square root of 3033?
About 55.0727, exactly 3√337.
What is 3033 in Roman numerals?
MMMXXXIII.
Is 3033 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3033?
3033 is a Harshad number: divisible by its digit sum 9.