The number 33135
33135 is a composite number with 12 divisors. Its prime factorisation is 3 × 5 × . Divisors (12): 1, 3, 5, 15, 47, 141, 235, 705, 2209, 6627, 11045, 33135.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33135: a Harshad number: divisible by its digit sum 15.
- 2
33135 is composite. Its prime factorisation is
- 3
The divisors add up to 54168; without 33135 itself that is 21033, so 33135 is deficient (21033 is less than 33135). Euler's totient φ(33135) = 17296 numbers up to 33135 share no factor with it.
- 4
The digits of 33135 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33135 = 3 \times 5 \times 47^{2} \]33135 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54168 |
| Euler totient φ(n) | 17296 |
| Square | 1097928225 |
| Cube | 36379851735375 |
| Square root | 182.030217 (= 47√15) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3135 × |
33135 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and thirty-five |
| Binary (base 2) | 1000000101101111 |
| Octal (base 8) | 100557 |
| Hexadecimal (base 16) | 816F |
| Base 3 | 1200110020 |
| As time | 33135 seconds = 9 h 12 min 15 s |
Is 33135 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 (33135 ÷ 3 = 11045) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33135 ÷ 5 = 6627) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33135 a prime number?
No. 33135 = 3 × 5 × , so it is divisible by 3.
What are the factors of 33135?
1, 3, 5, 15, 47, 141, 235, 705, 2209, 6627, 11045, 33135.
What is 33135 in binary?
1000000101101111 (hexadecimal 816F, octal 100557).
What is the square root of 33135?
About 182.0302, exactly 47√15.
Is 33135 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33135?
33135 is a Harshad number: divisible by its digit sum 15.