The number 33855
33855 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 37 × 61. Divisors (16): 1, 3, 5, 15, 37, 61, 111, 183, 185, 305, 555, 915, 2257, 6771, 11285, 33855.
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How to work it out
- 1
33855 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33855 is composite. Its prime factorisation is
- 3
The divisors add up to 56544; without 33855 itself that is 22689, so 33855 is deficient (22689 is less than 33855). Euler's totient φ(33855) = 17280 numbers up to 33855 share no factor with it.
- 4
The digits of 33855 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33855 = 3 \times 5 \times 37 \times 61 \]
33855 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 56544 |
| Euler totient φ(n) | 17280 |
| Square | 1146161025 |
| Cube | 38803281501375 |
| Square root | 183.997283 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3855 × |
33855 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and fifty-five |
| Binary (base 2) | 1000010000111111 |
| Octal (base 8) | 102077 |
| Hexadecimal (base 16) | 843F |
| Base 3 | 1201102220 |
| As time | 33855 seconds = 9 h 24 min 15 s |
Is 33855 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 (33855 ÷ 3 = 11285) | 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 (33855 ÷ 5 = 6771) | 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 3) | 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 8) | 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 33855 a prime number?
No. 33855 = 3 × 5 × 37 × 61, so it is divisible by 3.
What are the factors of 33855?
1, 3, 5, 15, 37, 61, 111, 183, 185, 305, 555, 915, 2257, 6771, 11285, 33855.
What is 33855 in binary?
1000010000111111 (hexadecimal 843F, octal 102077).
What is the square root of 33855?
About 183.9973.
Is 33855 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 33855?
It is a composite number with 16 divisors.