The number 83389
83389 is the 8139th prime number. Its only divisors are 1 and 83389.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83389: the 8139th prime number.
- 2
83389 is prime, so its only factors are 1 and 83389. It is the 8139th prime; the next prime is 83399 and the one before is 83383.
- 3
The divisors add up to 83390; without 83389 itself that is 1, so 83389 is deficient (1 is less than 83389). Euler's totient φ(83389) = 83388 numbers up to 83389 share no factor with it.
- 4
The digits of 83389 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
83389 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 83390 |
| Euler totient φ(n) | 83388 |
| Square | 6953725321 |
| Cube | 579864200792869 |
| Square root | 288.771536 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.3389 × |
83389 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and eighty-nine |
| Binary (base 2) | 10100010110111101 |
| Octal (base 8) | 242675 |
| Hexadecimal (base 16) | 145BD |
| Base 3 | 11020101111 |
| As time | 83389 seconds = 23 h 9 min 49 s |
Is 83389 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 5) | 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 4) | 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 9) | 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 83389 a prime number?
Yes. 83389 is divisible only by 1 and itself.
What are the factors of 83389?
1, 83389.
What is 83389 in binary?
10100010110111101 (hexadecimal 145BD, octal 242675).
What is the square root of 83389?
About 288.7715.
Is 83389 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 83389?
83389 is the 8139th prime number.