The number 17007
17007 is a composite number with 4 divisors. Its prime factorisation is 3 × 5669. Divisors (4): 1, 3, 5669, 17007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17007: a semiprime: 3 × 5669, the product of two primes.
- 2
17007 is composite. Its prime factorisation is
- 3
The divisors add up to 22680; without 17007 itself that is 5673, so 17007 is deficient (5673 is less than 17007). Euler's totient φ(17007) = 11336 numbers up to 17007 share no factor with it.
- 4
The digits of 17007 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17007 = 3 \times 5669 \]
17007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 22680 |
| Euler totient φ(n) | 11336 |
| Square | 289238049 |
| Cube | 4919071499343 |
| Square root | 130.410889 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.7007 × |
17007 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and seven |
| Binary (base 2) | 100001001101111 |
| Octal (base 8) | 41157 |
| Hexadecimal (base 16) | 426F |
| Base 3 | 212022220 |
| As time | 17007 seconds = 4 h 43 min 27 s |
Is 17007 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 (17007 ÷ 3 = 5669) | 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 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 17007 a prime number?
No. 17007 = 3 × 5669, so it is divisible by 3.
What are the factors of 17007?
1, 3, 5669, 17007.
What is 17007 in binary?
100001001101111 (hexadecimal 426F, octal 41157).
What is the square root of 17007?
About 130.4109.
Is 17007 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 17007?
17007 is a semiprime: 3 × 5669, the product of two primes.