The number 33060
33060 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 19 × 29. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 29, 30, 38, 57, 58 … 33060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33060: a Harshad number: divisible by its digit sum 12.
- 2
33060 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 33060 itself that is 67740, so 33060 is abundant (67740 is more than 33060). Euler's totient φ(33060) = 8064 numbers up to 33060 share no factor with it.
- 4
The digits of 33060 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33060 = 2^{2} \times 3 \times 5 \times 19 \times 29 \]33060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 8064 |
| Square | 1092963600 |
| Cube | 36133376616000 |
| Square root | 181.824091 (= 2√8265) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.306 × |
33060 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and sixty |
| Binary (base 2) | 1000000100100100 |
| Octal (base 8) | 100444 |
| Hexadecimal (base 16) | 8124 |
| Base 3 | 1200100110 |
| As time | 33060 seconds = 9 h 11 min 0 s |
Is 33060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33060 ÷ 2 = 16530) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33060 ÷ 3 = 11020) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33060 ÷ 4 = 8265) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33060 ÷ 5 = 6612) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33060 ÷ 6 = 5510) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33060 ÷ 10 = 3306) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33060 ÷ 12 = 2755) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33060 a prime number?
No. 33060 = × 3 × 5 × 19 × 29, so it is divisible by 2.
What are the factors of 33060?
1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 29, 30, 38, 57, 58, 60, 76, 87, 95, 114, 116, 145, 174, 190, 228, 285, 290, 348, 380, 435, 551, 570, 580, 870, 1102, 1140, 1653, 1740, 2204, 2755, 3306, 5510, 6612, 8265, 11020, 16530, 33060.
What is 33060 in binary?
1000000100100100 (hexadecimal 8124, octal 100444).
What is the square root of 33060?
About 181.8241, exactly 2√8265.
Is 33060 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33060?
33060 is a Harshad number: divisible by its digit sum 12.