The number 33165
33165 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 67. Divisors (24): 1, 3, 5, 9, 11, 15, 33, 45, 55, 67, 99, 165, 201, 335, 495, 603 … 33165.
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How to work it out
- 1
33165 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33165 is composite. Its prime factorisation is
- 3
The divisors add up to 63648; without 33165 itself that is 30483, so 33165 is deficient (30483 is less than 33165). Euler's totient φ(33165) = 15840 numbers up to 33165 share no factor with it.
- 4
The digits of 33165 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33165 = 3^{2} \times 5 \times 11 \times 67 \]33165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 63648 |
| Euler totient φ(n) | 15840 |
| Square | 1099917225 |
| Cube | 36478754767125 |
| Square root | 182.112603 (= 3√3685) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3165 × |
33165 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and sixty-five |
| Binary (base 2) | 1000000110001101 |
| Octal (base 8) | 100615 |
| Hexadecimal (base 16) | 818D |
| Base 3 | 1200111100 |
| As time | 33165 seconds = 9 h 12 min 45 s |
Is 33165 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 (33165 ÷ 3 = 11055) | 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 (33165 ÷ 5 = 6633) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33165 ÷ 9 = 3685) | 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 | Yes (33165 ÷ 11 = 3015) | 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 33165 a prime number?
No. 33165 = × 5 × 11 × 67, so it is divisible by 3.
What are the factors of 33165?
1, 3, 5, 9, 11, 15, 33, 45, 55, 67, 99, 165, 201, 335, 495, 603, 737, 1005, 2211, 3015, 3685, 6633, 11055, 33165.
What is 33165 in binary?
1000000110001101 (hexadecimal 818D, octal 100615).
What is the square root of 33165?
About 182.1126, exactly 3√3685.
Is 33165 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33165?
It is a composite number with 24 divisors.