The number 2339
2339 is a twin prime (2339 and 2341 are both prime) and the 346th prime number. Its only divisors are 1 and 2339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2339: a twin prime (2339 and 2341 are both prime); the 346th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
2339 is prime, so its only factors are 1 and 2339. It is the 346th prime; the next prime is 2341 and the one before is 2333.
- 3
The divisors add up to 2340; without 2339 itself that is 1, so 2339 is deficient (1 is less than 2339). Euler's totient φ(2339) = 2338 numbers up to 2339 share no factor with it.
- 4
The digits of 2339 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
2339 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2340 |
| Euler totient φ(n) | 2338 |
| Square | 5470921 |
| Cube | 12796484219 |
| Square root | 48.363209 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 58 |
| Scientific notation | 2.339 × |
2339 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and thirty-nine |
| Roman numerals | MMCCCXXXIX |
| Binary (base 2) | 100100100011 |
| Octal (base 8) | 4443 |
| Hexadecimal (base 16) | 923 |
| Base 3 | 10012122 |
| As time | 2339 seconds = 38 min 59 s |
Is 2339 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2339 a prime number?
Yes. 2339 is divisible only by 1 and itself.
What are the factors of 2339?
1, 2339.
What is 2339 in binary?
100100100011 (hexadecimal 923, octal 4443).
What is the square root of 2339?
About 48.3632.
What is 2339 in Roman numerals?
MMCCCXXXIX.
Is 2339 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 2339?
2339 is a twin prime (2339 and 2341 are both prime); the 346th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.