The number 8059
8059 is the 1013th prime number. Its only divisors are 1 and 8059.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8059: the 1013th prime number.
- 2
8059 is prime, so its only factors are 1 and 8059. It is the 1013th prime; the next prime is 8069 and the one before is 8053.
- 3
The divisors add up to 8060; without 8059 itself that is 1, so 8059 is deficient (1 is less than 8059). Euler's totient φ(8059) = 8058 numbers up to 8059 share no factor with it.
- 4
The digits of 8059 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
8059 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8060 |
| Euler totient φ(n) | 8058 |
| Square | 64947481 |
| Cube | 523411749379 |
| Square root | 89.771933 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 8.059 × |
8059 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and fifty-nine |
| Binary (base 2) | 1111101111011 |
| Octal (base 8) | 17573 |
| Hexadecimal (base 16) | 1F7B |
| Base 3 | 102001111 |
| As time | 8059 seconds = 2 h 14 min 19 s |
Is 8059 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 3) | 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 2) | 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 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8059 a prime number?
Yes. 8059 is divisible only by 1 and itself.
What are the factors of 8059?
1, 8059.
What is 8059 in binary?
1111101111011 (hexadecimal 1F7B, octal 17573).
What is the square root of 8059?
About 89.7719.
Is 8059 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 8059?
8059 is the 1013th prime number.