The number 33066
33066 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 167. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 167, 198, 334, 501, 1002 … 33066.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33066: a Harshad number: divisible by its digit sum 18.
- 2
33066 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 33066 itself that is 45558, so 33066 is abundant (45558 is more than 33066). Euler's totient φ(33066) = 9960 numbers up to 33066 share no factor with it.
- 4
The digits of 33066 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33066 = 2 \times 3^{2} \times 11 \times 167 \]33066 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 9960 |
| Square | 1093360356 |
| Cube | 36153053531496 |
| Square root | 181.840590 (= 3√3674) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3066 × |
33066 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and sixty-six |
| Binary (base 2) | 1000000100101010 |
| Octal (base 8) | 100452 |
| Hexadecimal (base 16) | 812A |
| Base 3 | 1200100200 |
| As time | 33066 seconds = 9 h 11 min 6 s |
Is 33066 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33066 ÷ 2 = 16533) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33066 ÷ 3 = 11022) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33066 ÷ 6 = 5511) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33066 ÷ 9 = 3674) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33066 ÷ 11 = 3006) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33066 a prime number?
No. 33066 = 2 × × 11 × 167, so it is divisible by 2.
What are the factors of 33066?
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 167, 198, 334, 501, 1002, 1503, 1837, 3006, 3674, 5511, 11022, 16533, 33066.
What is 33066 in binary?
1000000100101010 (hexadecimal 812A, octal 100452).
What is the square root of 33066?
About 181.8406, exactly 3√3674.
Is 33066 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33066?
33066 is a Harshad number: divisible by its digit sum 18.