The number 17006
17006 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 773. Divisors (8): 1, 2, 11, 22, 773, 1546, 8503, 17006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17006: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17006 is composite. Its prime factorisation is
- 3
The divisors add up to 27864; without 17006 itself that is 10858, so 17006 is deficient (10858 is less than 17006). Euler's totient φ(17006) = 7720 numbers up to 17006 share no factor with it.
- 4
The digits of 17006 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17006 = 2 \times 11 \times 773 \]
17006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27864 |
| Euler totient φ(n) | 7720 |
| Square | 289204036 |
| Cube | 4918203836216 |
| Square root | 130.407055 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.7006 × |
17006 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and six |
| Binary (base 2) | 100001001101110 |
| Octal (base 8) | 41156 |
| Hexadecimal (base 16) | 426E |
| Base 3 | 212022212 |
| As time | 17006 seconds = 4 h 43 min 26 s |
Is 17006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17006 ÷ 2 = 8503) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (17006 ÷ 11 = 1546) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17006 a prime number?
No. 17006 = 2 × 11 × 773, so it is divisible by 2.
What are the factors of 17006?
1, 2, 11, 22, 773, 1546, 8503, 17006.
What is 17006 in binary?
100001001101110 (hexadecimal 426E, octal 41156).
What is the square root of 17006?
About 130.4071.
Is 17006 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 17006?
17006 is a happy number: repeatedly adding the squares of its digits reaches 1.