The number 49939
49939 is a twin prime (49937 and 49939 are both prime) and the 5128th prime number. Its only divisors are 1 and 49939.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49939: a twin prime (49937 and 49939 are both prime); the 5128th prime number.
- 2
49939 is prime, so its only factors are 1 and 49939. It is the 5128th prime; the next prime is 49943 and the one before is 49937.
- 3
The divisors add up to 49940; without 49939 itself that is 1, so 49939 is deficient (1 is less than 49939). Euler's totient φ(49939) = 49938 numbers up to 49939 share no factor with it.
- 4
The digits of 49939 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
49939 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49940 |
| Euler totient φ(n) | 49938 |
| Square | 2493903721 |
| Cube | 124543057923019 |
| Square root | 223.470356 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9939 × |
49939 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and thirty-nine |
| Binary (base 2) | 1100001100010011 |
| Octal (base 8) | 141423 |
| Hexadecimal (base 16) | C313 |
| Base 3 | 2112111121 |
| As time | 49939 seconds = 13 h 52 min 19 s |
Is 49939 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 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 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 10) | 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 49939 a prime number?
Yes. 49939 is divisible only by 1 and itself.
What are the factors of 49939?
1, 49939.
What is 49939 in binary?
1100001100010011 (hexadecimal C313, octal 141423).
What is the square root of 49939?
About 223.4704.
Is 49939 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 49939?
49939 is a twin prime (49937 and 49939 are both prime); the 5128th prime number.