The number 239
239 is a twin prime (239 and 241 are both prime) and the 52nd prime number. Its only divisors are 1 and 239.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 239: a twin prime (239 and 241 are both prime); the 52nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
239 is prime, so its only factors are 1 and 239. It is the 52nd prime; the next prime is 241 and the one before is 233.
- 3
The divisors add up to 240; without 239 itself that is 1, so 239 is deficient (1 is less than 239). Euler's totient φ(239) = 238 numbers up to 239 share no factor with it.
- 4
The digits of 239 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
239 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 240 |
| Euler totient φ(n) | 238 |
| Square | 57121 |
| Cube | 13651919 |
| Square root | 15.459625 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 2.39 × |
239 in other forms
| Form | Value |
|---|---|
| In words | two hundred and thirty-nine |
| Roman numerals | CCXXXIX |
| Binary (base 2) | 11101111 |
| Octal (base 8) | 357 |
| Hexadecimal (base 16) | EF |
| Base 3 | 22212 |
| As time | 239 seconds = 3 min 59 s |
Is 239 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 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 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 8) | 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 239 a prime number?
Yes. 239 is divisible only by 1 and itself.
What are the factors of 239?
1, 239.
What is 239 in binary?
11101111 (hexadecimal EF, octal 357).
What is the square root of 239?
About 15.4596.
What is 239 in Roman numerals?
CCXXXIX.
Is 239 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 239?
239 is a twin prime (239 and 241 are both prime); the 52nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.