The number 17091
17091 is a composite number with 10 divisors. Its prime factorisation is × 211. Divisors (10): 1, 3, 9, 27, 81, 211, 633, 1899, 5697, 17091.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17091 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17091 is composite. Its prime factorisation is
- 3
The divisors add up to 25652; without 17091 itself that is 8561, so 17091 is deficient (8561 is less than 17091). Euler's totient φ(17091) = 11340 numbers up to 17091 share no factor with it.
- 4
The digits of 17091 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 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17091 = 3^{4} \times 211 \]17091 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 25652 |
| Euler totient φ(n) | 11340 |
| Square | 292102281 |
| Cube | 4992320084571 |
| Square root | 130.732551 (= 9√211) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.7091 × |
17091 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and ninety-one |
| Binary (base 2) | 100001011000011 |
| Octal (base 8) | 41303 |
| Hexadecimal (base 16) | 42C3 |
| Base 3 | 212110000 |
| As time | 17091 seconds = 4 h 44 min 51 s |
Is 17091 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 (17091 ÷ 3 = 5697) | 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 | No (remainder 1) | 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 4) | 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 | Yes (17091 ÷ 9 = 1899) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 17091 a prime number?
No. 17091 = × 211, so it is divisible by 3.
What are the factors of 17091?
1, 3, 9, 27, 81, 211, 633, 1899, 5697, 17091.
What is 17091 in binary?
100001011000011 (hexadecimal 42C3, octal 41303).
What is the square root of 17091?
About 130.7326, exactly 9√211.
Is 17091 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 17091?
It is a composite number with 10 divisors.