The number 17008
17008 is a composite number with 10 divisors. Its prime factorisation is × 1063. Divisors (10): 1, 2, 4, 8, 16, 1063, 2126, 4252, 8504, 17008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17008: a Harshad number: divisible by its digit sum 16.
- 2
17008 is composite. Its prime factorisation is
- 3
The divisors add up to 32984; without 17008 itself that is 15976, so 17008 is deficient (15976 is less than 17008). Euler's totient φ(17008) = 8496 numbers up to 17008 share no factor with it.
- 4
The digits of 17008 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17008 = 2^{4} \times 1063 \]17008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 32984 |
| Euler totient φ(n) | 8496 |
| Square | 289272064 |
| Cube | 4919939264512 |
| Square root | 130.414723 (= 4√1063) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7008 × |
17008 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and eight |
| Binary (base 2) | 100001001110000 |
| Octal (base 8) | 41160 |
| Hexadecimal (base 16) | 4270 |
| Base 3 | 212022221 |
| As time | 17008 seconds = 4 h 43 min 28 s |
Is 17008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17008 ÷ 2 = 8504) | 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 (17008 ÷ 4 = 4252) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (17008 ÷ 8 = 2126) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | 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 17008 a prime number?
No. 17008 = × 1063, so it is divisible by 2.
What are the factors of 17008?
1, 2, 4, 8, 16, 1063, 2126, 4252, 8504, 17008.
What is 17008 in binary?
100001001110000 (hexadecimal 4270, octal 41160).
What is the square root of 17008?
About 130.4147, exactly 4√1063.
Is 17008 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 17008?
17008 is a Harshad number: divisible by its digit sum 16.