The number 17109
17109 is a composite number with 6 divisors. Its prime factorisation is × 1901. Divisors (6): 1, 3, 9, 1901, 5703, 17109.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17109 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17109 is composite. Its prime factorisation is
- 3
The divisors add up to 24726; without 17109 itself that is 7617, so 17109 is deficient (7617 is less than 17109). Euler's totient φ(17109) = 11400 numbers up to 17109 share no factor with it.
- 4
The digits of 17109 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 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17109 = 3^{2} \times 1901 \]17109 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 24726 |
| Euler totient φ(n) | 11400 |
| Square | 292717881 |
| Cube | 5008110226029 |
| Square root | 130.801376 (= 3√1901) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.7109 × |
17109 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and nine |
| Binary (base 2) | 100001011010101 |
| Octal (base 8) | 41325 |
| Hexadecimal (base 16) | 42D5 |
| Base 3 | 212110200 |
| As time | 17109 seconds = 4 h 45 min 9 s |
Is 17109 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 (17109 ÷ 3 = 5703) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (17109 ÷ 9 = 1901) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17109 a prime number?
No. 17109 = × 1901, so it is divisible by 3.
What are the factors of 17109?
1, 3, 9, 1901, 5703, 17109.
What is 17109 in binary?
100001011010101 (hexadecimal 42D5, octal 41325).
What is the square root of 17109?
About 130.8014, exactly 3√1901.
Is 17109 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 17109?
It is a composite number with 6 divisors.