The number 599
599 is a twin prime (599 and 601 are both prime) and the 109th prime number. Its only divisors are 1 and 599.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 599: a twin prime (599 and 601 are both prime); the 109th prime number.
- 2
599 is prime, so its only factors are 1 and 599. It is the 109th prime; the next prime is 601 and the one before is 593.
- 3
The divisors add up to 600; without 599 itself that is 1, so 599 is deficient (1 is less than 599). Euler's totient φ(599) = 598 numbers up to 599 share no factor with it.
- 4
The digits of 599 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
599 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 600 |
| Euler totient φ(n) | 598 |
| Square | 358801 |
| Cube | 214921799 |
| Square root | 24.474477 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 118 |
| Scientific notation | 5.99 × |
599 in other forms
| Form | Value |
|---|---|
| In words | five hundred and ninety-nine |
| Roman numerals | DXCIX |
| Binary (base 2) | 1001010111 |
| Octal (base 8) | 1127 |
| Hexadecimal (base 16) | 257 |
| Base 3 | 211012 |
| As time | 599 seconds = 9 min 59 s |
Is 599 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 4) | 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 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 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 599 a prime number?
Yes. 599 is divisible only by 1 and itself.
What are the factors of 599?
1, 599.
What is 599 in binary?
1001010111 (hexadecimal 257, octal 1127).
What is the square root of 599?
About 24.4745.
What is 599 in Roman numerals?
DXCIX.
Is 599 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 599?
599 is a twin prime (599 and 601 are both prime); the 109th prime number.