The number 17108
17108 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 47. Divisors (24): 1, 2, 4, 7, 13, 14, 26, 28, 47, 52, 91, 94, 182, 188, 329, 364 … 17108.
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How to work it out
- 1
17108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17108 is composite. Its prime factorisation is
- 3
The divisors add up to 37632; without 17108 itself that is 20524, so 17108 is abundant (20524 is more than 17108). Euler's totient φ(17108) = 6624 numbers up to 17108 share no factor with it.
- 4
The digits of 17108 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 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17108 = 2^{2} \times 7 \times 13 \times 47 \]17108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 37632 |
| Euler totient φ(n) | 6624 |
| Square | 292683664 |
| Cube | 5007232123712 |
| Square root | 130.797553 (= 2√4277) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.7108 × |
17108 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and eight |
| Binary (base 2) | 100001011010100 |
| Octal (base 8) | 41324 |
| Hexadecimal (base 16) | 42D4 |
| Base 3 | 212110122 |
| As time | 17108 seconds = 4 h 45 min 8 s |
Is 17108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17108 ÷ 2 = 8554) | 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 | Yes (17108 ÷ 4 = 4277) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (17108 ÷ 7 = 2444) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17108 a prime number?
No. 17108 = × 7 × 13 × 47, so it is divisible by 2.
What are the factors of 17108?
1, 2, 4, 7, 13, 14, 26, 28, 47, 52, 91, 94, 182, 188, 329, 364, 611, 658, 1222, 1316, 2444, 4277, 8554, 17108.
What is 17108 in binary?
100001011010100 (hexadecimal 42D4, octal 41324).
What is the square root of 17108?
About 130.7976, exactly 2√4277.
Is 17108 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 17108?
It is a composite number with 24 divisors.