The number 17011
17011 is the 1961st prime number. Its only divisors are 1 and 17011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17011: the 1961st prime number.
- 2
17011 is prime, so its only factors are 1 and 17011. It is the 1961st prime; the next prime is 17021 and the one before is 16993.
- 3
The divisors add up to 17012; without 17011 itself that is 1, so 17011 is deficient (1 is less than 17011). Euler's totient φ(17011) = 17010 numbers up to 17011 share no factor with it.
- 4
The digits of 17011 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
17011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 17012 |
| Euler totient φ(n) | 17010 |
| Square | 289374121 |
| Cube | 4922543172331 |
| Square root | 130.426224 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.7011 × |
17011 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand and eleven |
| Binary (base 2) | 100001001110011 |
| Octal (base 8) | 41163 |
| Hexadecimal (base 16) | 4273 |
| Base 3 | 212100001 |
| As time | 17011 seconds = 4 h 43 min 31 s |
Is 17011 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 | No (remainder 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17011 a prime number?
Yes. 17011 is divisible only by 1 and itself.
What are the factors of 17011?
1, 17011.
What is 17011 in binary?
100001001110011 (hexadecimal 4273, octal 41163).
What is the square root of 17011?
About 130.4262.
Is 17011 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 17011?
17011 is the 1961st prime number.