The number 33885
33885 is a composite number with 16 divisors. Its prime factorisation is × 5 × 251. Divisors (16): 1, 3, 5, 9, 15, 27, 45, 135, 251, 753, 1255, 2259, 3765, 6777, 11295, 33885.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33885: a Harshad number: divisible by its digit sum 27.
- 2
33885 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 33885 itself that is 26595, so 33885 is deficient (26595 is less than 33885). Euler's totient φ(33885) = 18000 numbers up to 33885 share no factor with it.
- 4
The digits of 33885 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33885 = 3^{3} \times 5 \times 251 \]33885 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 18000 |
| Square | 1148193225 |
| Cube | 38906527429125 |
| Square root | 184.078787 (= 3√3765) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3885 × |
33885 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and eighty-five |
| Binary (base 2) | 1000010001011101 |
| Octal (base 8) | 102135 |
| Hexadecimal (base 16) | 845D |
| Base 3 | 1201111000 |
| As time | 33885 seconds = 9 h 24 min 45 s |
Is 33885 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 (33885 ÷ 3 = 11295) | 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 (33885 ÷ 5 = 6777) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33885 ÷ 9 = 3765) | 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 5) | 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 33885 a prime number?
No. 33885 = × 5 × 251, so it is divisible by 3.
What are the factors of 33885?
1, 3, 5, 9, 15, 27, 45, 135, 251, 753, 1255, 2259, 3765, 6777, 11295, 33885.
What is 33885 in binary?
1000010001011101 (hexadecimal 845D, octal 102135).
What is the square root of 33885?
About 184.0788, exactly 3√3765.
Is 33885 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 33885?
33885 is a Harshad number: divisible by its digit sum 27.