The number 2239
2239 is a twin prime (2237 and 2239 are both prime) and the 333rd prime number. Its only divisors are 1 and 2239.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2239: a twin prime (2237 and 2239 are both prime); the 333rd prime number.
- 2
2239 is prime, so its only factors are 1 and 2239. It is the 333rd prime; the next prime is 2243 and the one before is 2237.
- 3
The divisors add up to 2240; without 2239 itself that is 1, so 2239 is deficient (1 is less than 2239). Euler's totient φ(2239) = 2238 numbers up to 2239 share no factor with it.
- 4
The digits of 2239 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
2239 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2240 |
| Euler totient φ(n) | 2238 |
| Square | 5013121 |
| Cube | 11224377919 |
| Square root | 47.318073 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 2.239 × |
2239 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and thirty-nine |
| Roman numerals | MMCCXXXIX |
| Binary (base 2) | 100010111111 |
| Octal (base 8) | 4277 |
| Hexadecimal (base 16) | 8BF |
| Base 3 | 10001221 |
| As time | 2239 seconds = 37 min 19 s |
Is 2239 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 6) | 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 7) | 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 6) | 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 2239 a prime number?
Yes. 2239 is divisible only by 1 and itself.
What are the factors of 2239?
1, 2239.
What is 2239 in binary?
100010111111 (hexadecimal 8BF, octal 4277).
What is the square root of 2239?
About 47.3181.
What is 2239 in Roman numerals?
MMCCXXXIX.
Is 2239 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 2239?
2239 is a twin prime (2237 and 2239 are both prime); the 333rd prime number.