The number 30033
30033 is a composite number with 12 divisors. Its prime factorisation is × 47 × 71. Divisors (12): 1, 3, 9, 47, 71, 141, 213, 423, 639, 3337, 10011, 30033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30033: a Harshad number: divisible by its digit sum 9.
- 2
30033 is composite. Its prime factorisation is
- 3
The divisors add up to 44928; without 30033 itself that is 14895, so 30033 is deficient (14895 is less than 30033). Euler's totient φ(30033) = 19320 numbers up to 30033 share no factor with it.
- 4
The digits of 30033 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 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30033 = 3^{2} \times 47 \times 71 \]30033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 44928 |
| Euler totient φ(n) | 19320 |
| Square | 901981089 |
| Cube | 27089198045937 |
| Square root | 173.300317 (= 3√3337) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 165 |
| Scientific notation | 3.0033 × |
30033 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and thirty-three |
| Binary (base 2) | 111010101010001 |
| Octal (base 8) | 72521 |
| Hexadecimal (base 16) | 7551 |
| Base 3 | 1112012100 |
| As time | 30033 seconds = 8 h 20 min 33 s |
Is 30033 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 (30033 ÷ 3 = 10011) | 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 | Yes (30033 ÷ 9 = 3337) | 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 3) | 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 30033 a prime number?
No. 30033 = × 47 × 71, so it is divisible by 3.
What are the factors of 30033?
1, 3, 9, 47, 71, 141, 213, 423, 639, 3337, 10011, 30033.
What is 30033 in binary?
111010101010001 (hexadecimal 7551, octal 72521).
What is the square root of 30033?
About 173.3003, exactly 3√3337.
Is 30033 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 30033?
30033 is a Harshad number: divisible by its digit sum 9.