The number 33055
33055 is a composite number with 8 divisors. Its prime factorisation is 5 × 11 × 601. Divisors (8): 1, 5, 11, 55, 601, 3005, 6611, 33055.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33055: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33055 is composite. Its prime factorisation is
- 3
The divisors add up to 43344; without 33055 itself that is 10289, so 33055 is deficient (10289 is less than 33055). Euler's totient φ(33055) = 24000 numbers up to 33055 share no factor with it.
- 4
The digits of 33055 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33055 = 5 \times 11 \times 601 \]
33055 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 43344 |
| Euler totient φ(n) | 24000 |
| Square | 1092633025 |
| Cube | 36116984641375 |
| Square root | 181.810341 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3055 × |
33055 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and fifty-five |
| Binary (base 2) | 1000000100011111 |
| Octal (base 8) | 100437 |
| Hexadecimal (base 16) | 811F |
| Base 3 | 1200100021 |
| As time | 33055 seconds = 9 h 10 min 55 s |
Is 33055 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 1) | 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 (33055 ÷ 5 = 6611) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 (33055 ÷ 11 = 3005) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33055 a prime number?
No. 33055 = 5 × 11 × 601, so it is divisible by 5.
What are the factors of 33055?
1, 5, 11, 55, 601, 3005, 6611, 33055.
What is 33055 in binary?
1000000100011111 (hexadecimal 811F, octal 100437).
What is the square root of 33055?
About 181.8103.
Is 33055 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33055?
33055 is a happy number: repeatedly adding the squares of its digits reaches 1.