The number 33755
33755 is a composite number with 8 divisors. Its prime factorisation is 5 × 43 × 157. Divisors (8): 1, 5, 43, 157, 215, 785, 6751, 33755.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33755 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33755 is composite. Its prime factorisation is
- 3
The divisors add up to 41712; without 33755 itself that is 7957, so 33755 is deficient (7957 is less than 33755). Euler's totient φ(33755) = 26208 numbers up to 33755 share no factor with it.
- 4
The digits of 33755 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33755 = 5 \times 43 \times 157 \]
33755 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 41712 |
| Euler totient φ(n) | 26208 |
| Square | 1139400025 |
| Cube | 38460447843875 |
| Square root | 183.725338 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3755 × |
33755 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and fifty-five |
| Binary (base 2) | 1000001111011011 |
| Octal (base 8) | 101733 |
| Hexadecimal (base 16) | 83DB |
| Base 3 | 1201022012 |
| As time | 33755 seconds = 9 h 22 min 35 s |
Is 33755 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33755 ÷ 5 = 6751) | 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 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33755 a prime number?
No. 33755 = 5 × 43 × 157, so it is divisible by 5.
What are the factors of 33755?
1, 5, 43, 157, 215, 785, 6751, 33755.
What is 33755 in binary?
1000001111011011 (hexadecimal 83DB, octal 101733).
What is the square root of 33755?
About 183.7253.
Is 33755 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33755?
It is a composite number with 8 divisors.