The number 17055
17055 is a composite number with 12 divisors. Its prime factorisation is × 5 × 379. Divisors (12): 1, 3, 5, 9, 15, 45, 379, 1137, 1895, 3411, 5685, 17055.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17055: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17055 is composite. Its prime factorisation is
- 3
The divisors add up to 29640; without 17055 itself that is 12585, so 17055 is deficient (12585 is less than 17055). Euler's totient φ(17055) = 9072 numbers up to 17055 share no factor with it.
- 4
The digits of 17055 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17055 = 3^{2} \times 5 \times 379 \]17055 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 29640 |
| Euler totient φ(n) | 9072 |
| Square | 290873025 |
| Cube | 4960839441375 |
| Square root | 130.594793 (= 3√1895) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.7055 × |
17055 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and fifty-five |
| Binary (base 2) | 100001010011111 |
| Octal (base 8) | 41237 |
| Hexadecimal (base 16) | 429F |
| Base 3 | 212101200 |
| As time | 17055 seconds = 4 h 44 min 15 s |
Is 17055 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 (17055 ÷ 3 = 5685) | 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 (17055 ÷ 5 = 3411) | 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 | Yes (17055 ÷ 9 = 1895) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17055 a prime number?
No. 17055 = × 5 × 379, so it is divisible by 3.
What are the factors of 17055?
1, 3, 5, 9, 15, 45, 379, 1137, 1895, 3411, 5685, 17055.
What is 17055 in binary?
100001010011111 (hexadecimal 429F, octal 41237).
What is the square root of 17055?
About 130.5948, exactly 3√1895.
Is 17055 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 17055?
17055 is a happy number: repeatedly adding the squares of its digits reaches 1.