The number 199
199 is a twin prime (197 and 199 are both prime) and the 46th prime number. Its only divisors are 1 and 199.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 199: a twin prime (197 and 199 are both prime); the 46th prime number.
- 2
199 is prime, so its only factors are 1 and 199. It is the 46th prime; the next prime is 211 and the one before is 197.
- 3
The divisors add up to 200; without 199 itself that is 1, so 199 is deficient (1 is less than 199). Euler's totient φ(199) = 198 numbers up to 199 share no factor with it.
- 4
The digits of 199 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
199 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 200 |
| Euler totient φ(n) | 198 |
| Square | 39601 |
| Cube | 7880599 |
| Square root | 14.106736 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 119 |
| Scientific notation | 1.99 × |
199 in other forms
| Form | Value |
|---|---|
| In words | one hundred and ninety-nine |
| Roman numerals | CXCIX |
| Binary (base 2) | 11000111 |
| Octal (base 8) | 307 |
| Hexadecimal (base 16) | C7 |
| Base 3 | 21101 |
| As time | 199 seconds = 3 min 19 s |
Is 199 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 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 7) | 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 1) | 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 199 a prime number?
Yes. 199 is divisible only by 1 and itself.
What are the factors of 199?
1, 199.
What is 199 in binary?
11000111 (hexadecimal C7, octal 307).
What is the square root of 199?
About 14.1067.
What is 199 in Roman numerals?
CXCIX.
Is 199 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 199?
199 is a twin prime (197 and 199 are both prime); the 46th prime number.