The number 27017
27017 is the 2963rd prime number. Its only divisors are 1 and 27017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27017: the 2963rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27017 is prime, so its only factors are 1 and 27017. It is the 2963rd prime; the next prime is 27031 and the one before is 27011.
- 3
The divisors add up to 27018; without 27017 itself that is 1, so 27017 is deficient (1 is less than 27017). Euler's totient φ(27017) = 27016 numbers up to 27017 share no factor with it.
- 4
The digits of 27017 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
27017 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27018 |
| Euler totient φ(n) | 27016 |
| Square | 729918289 |
| Cube | 19720202413913 |
| Square root | 164.368488 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7017 × |
27017 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and seventeen |
| Binary (base 2) | 110100110001001 |
| Octal (base 8) | 64611 |
| Hexadecimal (base 16) | 6989 |
| Base 3 | 1101001122 |
| As time | 27017 seconds = 7 h 30 min 17 s |
Is 27017 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27017 a prime number?
Yes. 27017 is divisible only by 1 and itself.
What are the factors of 27017?
1, 27017.
What is 27017 in binary?
110100110001001 (hexadecimal 6989, octal 64611).
What is the square root of 27017?
About 164.3685.
Is 27017 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27017?
27017 is the 2963rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.