The number 17104
17104 is a composite number with 10 divisors. Its prime factorisation is × 1069. Divisors (10): 1, 2, 4, 8, 16, 1069, 2138, 4276, 8552, 17104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17104 is composite. Its prime factorisation is
- 3
The divisors add up to 33170; without 17104 itself that is 16066, so 17104 is deficient (16066 is less than 17104). Euler's totient φ(17104) = 8544 numbers up to 17104 share no factor with it.
- 4
The digits of 17104 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17104 = 2^{4} \times 1069 \]17104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 33170 |
| Euler totient φ(n) | 8544 |
| Square | 292546816 |
| Cube | 5003720740864 |
| Square root | 130.782262 (= 4√1069) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.7104 × |
17104 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and four |
| Binary (base 2) | 100001011010000 |
| Octal (base 8) | 41320 |
| Hexadecimal (base 16) | 42D0 |
| Base 3 | 212110111 |
| As time | 17104 seconds = 4 h 45 min 4 s |
Is 17104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17104 ÷ 2 = 8552) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17104 ÷ 4 = 4276) | 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 4) | 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 | Yes (17104 ÷ 8 = 2138) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17104 a prime number?
No. 17104 = × 1069, so it is divisible by 2.
What are the factors of 17104?
1, 2, 4, 8, 16, 1069, 2138, 4276, 8552, 17104.
What is 17104 in binary?
100001011010000 (hexadecimal 42D0, octal 41320).
What is the square root of 17104?
About 130.7823, exactly 4√1069.
Is 17104 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 17104?
It is a composite number with 10 divisors.