The number 8093
8093 is the 1018th prime number. Its only divisors are 1 and 8093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8093: the 1018th prime number.
- 2
8093 is prime, so its only factors are 1 and 8093. It is the 1018th prime; the next prime is 8101 and the one before is 8089.
- 3
The divisors add up to 8094; without 8093 itself that is 1, so 8093 is deficient (1 is less than 8093). Euler's totient φ(8093) = 8092 numbers up to 8093 share no factor with it.
- 4
The digits of 8093 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
8093 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8094 |
| Euler totient φ(n) | 8092 |
| Square | 65496649 |
| Cube | 530064380357 |
| Square root | 89.961103 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.093 × |
8093 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and ninety-three |
| Binary (base 2) | 1111110011101 |
| Octal (base 8) | 17635 |
| Hexadecimal (base 16) | 1F9D |
| Base 3 | 102002202 |
| As time | 8093 seconds = 2 h 14 min 53 s |
Is 8093 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 8093 a prime number?
Yes. 8093 is divisible only by 1 and itself.
What are the factors of 8093?
1, 8093.
What is 8093 in binary?
1111110011101 (hexadecimal 1F9D, octal 17635).
What is the square root of 8093?
About 89.9611.
Is 8093 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8093?
8093 is the 1018th prime number.