The number 8117
8117 is the 1021st prime number. Its only divisors are 1 and 8117.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8117: the 1021st prime number.
- 2
8117 is prime, so its only factors are 1 and 8117. It is the 1021st prime; the next prime is 8123 and the one before is 8111.
- 3
The divisors add up to 8118; without 8117 itself that is 1, so 8117 is deficient (1 is less than 8117). Euler's totient φ(8117) = 8116 numbers up to 8117 share no factor with it.
- 4
The digits of 8117 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 39 steps to reach 1.
8117 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8118 |
| Euler totient φ(n) | 8116 |
| Square | 65885689 |
| Cube | 534794137613 |
| Square root | 90.094395 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 39 |
| Scientific notation | 8.117 × |
8117 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and seventeen |
| Binary (base 2) | 1111110110101 |
| Octal (base 8) | 17665 |
| Hexadecimal (base 16) | 1FB5 |
| Base 3 | 102010122 |
| As time | 8117 seconds = 2 h 15 min 17 s |
Is 8117 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 5) | 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 10) | 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 8117 a prime number?
Yes. 8117 is divisible only by 1 and itself.
What are the factors of 8117?
1, 8117.
What is 8117 in binary?
1111110110101 (hexadecimal 1FB5, octal 17665).
What is the square root of 8117?
About 90.0944.
Is 8117 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8117?
8117 is the 1021st prime number.