The number 33065
33065 is a composite number with 8 divisors. Its prime factorisation is 5 × 17 × 389. Divisors (8): 1, 5, 17, 85, 389, 1945, 6613, 33065.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33065: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
33065 is composite. Its prime factorisation is
- 3
The divisors add up to 42120; without 33065 itself that is 9055, so 33065 is deficient (9055 is less than 33065). Euler's totient φ(33065) = 24832 numbers up to 33065 share no factor with it.
- 4
The digits of 33065 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 266 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33065 = 5 \times 17 \times 389 \]
33065 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42120 |
| Euler totient φ(n) | 24832 |
| Square | 1093294225 |
| Cube | 36149773549625 |
| Square root | 181.837840 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 266 |
| Scientific notation | 3.3065 × |
33065 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and sixty-five |
| Binary (base 2) | 1000000100101001 |
| Octal (base 8) | 100451 |
| Hexadecimal (base 16) | 8129 |
| Base 3 | 1200100122 |
| As time | 33065 seconds = 9 h 11 min 5 s |
Is 33065 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 | No (remainder 2) | 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 | Yes (33065 ÷ 5 = 6613) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33065 a prime number?
No. 33065 = 5 × 17 × 389, so it is divisible by 5.
What are the factors of 33065?
1, 5, 17, 85, 389, 1945, 6613, 33065.
What is 33065 in binary?
1000000100101001 (hexadecimal 8129, octal 100451).
What is the square root of 33065?
About 181.8378.
Is 33065 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33065?
33065 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.