The number 8387
8387 is a twin prime (8387 and 8389 are both prime) and the 1050th prime number. Its only divisors are 1 and 8387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8387: a twin prime (8387 and 8389 are both prime); the 1050th prime number.
- 2
8387 is prime, so its only factors are 1 and 8387. It is the 1050th prime; the next prime is 8389 and the one before is 8377.
- 3
The divisors add up to 8388; without 8387 itself that is 1, so 8387 is deficient (1 is less than 8387). Euler's totient φ(8387) = 8386 numbers up to 8387 share no factor with it.
- 4
The digits of 8387 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
8387 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8388 |
| Euler totient φ(n) | 8386 |
| Square | 70341769 |
| Cube | 589956416603 |
| Square root | 91.580566 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.387 × |
8387 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and eighty-seven |
| Binary (base 2) | 10000011000011 |
| Octal (base 8) | 20303 |
| Hexadecimal (base 16) | 20C3 |
| Base 3 | 102111122 |
| As time | 8387 seconds = 2 h 19 min 47 s |
Is 8387 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 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 5) | 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 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8387 a prime number?
Yes. 8387 is divisible only by 1 and itself.
What are the factors of 8387?
1, 8387.
What is 8387 in binary?
10000011000011 (hexadecimal 20C3, octal 20303).
What is the square root of 8387?
About 91.5806.
Is 8387 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 8387?
8387 is a twin prime (8387 and 8389 are both prime); the 1050th prime number.