The number 8389
8389 is a twin prime (8387 and 8389 are both prime) and the 1051st prime number. Its only divisors are 1 and 8389.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8389: a twin prime (8387 and 8389 are both prime); the 1051st prime number.
- 2
8389 is prime, so its only factors are 1 and 8389. It is the 1051st prime; the next prime is 8419 and the one before is 8387.
- 3
The divisors add up to 8390; without 8389 itself that is 1, so 8389 is deficient (1 is less than 8389). Euler's totient φ(8389) = 8388 numbers up to 8389 share no factor with it.
- 4
The digits of 8389 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
8389 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8390 |
| Euler totient φ(n) | 8388 |
| Square | 70375321 |
| Cube | 590378567869 |
| Square root | 91.591484 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.389 × |
8389 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and eighty-nine |
| Binary (base 2) | 10000011000101 |
| Octal (base 8) | 20305 |
| Hexadecimal (base 16) | 20C5 |
| Base 3 | 102111201 |
| As time | 8389 seconds = 2 h 19 min 49 s |
Is 8389 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8389 a prime number?
Yes. 8389 is divisible only by 1 and itself.
What are the factors of 8389?
1, 8389.
What is 8389 in binary?
10000011000101 (hexadecimal 20C5, octal 20305).
What is the square root of 8389?
About 91.5915.
Is 8389 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 8389?
8389 is a twin prime (8387 and 8389 are both prime); the 1051st prime number.