The number 17135
17135 is a composite number with 8 divisors. Its prime factorisation is 5 × 23 × 149. Divisors (8): 1, 5, 23, 115, 149, 745, 3427, 17135.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17135 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17135 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 17135 itself that is 4465, so 17135 is deficient (4465 is less than 17135). Euler's totient φ(17135) = 13024 numbers up to 17135 share no factor with it.
- 4
The digits of 17135 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17135 = 5 \times 23 \times 149 \]
17135 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 13024 |
| Square | 293608225 |
| Cube | 5030976935375 |
| Square root | 130.900726 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.7135 × |
17135 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and thirty-five |
| Binary (base 2) | 100001011101111 |
| Octal (base 8) | 41357 |
| Hexadecimal (base 16) | 42EF |
| Base 3 | 212111122 |
| As time | 17135 seconds = 4 h 45 min 35 s |
Is 17135 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 (17135 ÷ 5 = 3427) | 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 6) | 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 8) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17135 a prime number?
No. 17135 = 5 × 23 × 149, so it is divisible by 5.
What are the factors of 17135?
1, 5, 23, 115, 149, 745, 3427, 17135.
What is 17135 in binary?
100001011101111 (hexadecimal 42EF, octal 41357).
What is the square root of 17135?
About 130.9007.
Is 17135 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 17135?
It is a composite number with 8 divisors.