The number 49831
49831 is the 5118th prime number. Its only divisors are 1 and 49831.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49831: the 5118th prime number.
- 2
49831 is prime, so its only factors are 1 and 49831. It is the 5118th prime; the next prime is 49843 and the one before is 49823.
- 3
The divisors add up to 49832; without 49831 itself that is 1, so 49831 is deficient (1 is less than 49831). Euler's totient φ(49831) = 49830 numbers up to 49831 share no factor with it.
- 4
The digits of 49831 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
49831 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49832 |
| Euler totient φ(n) | 49830 |
| Square | 2483128561 |
| Cube | 123736779323191 |
| Square root | 223.228582 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.9831 × |
49831 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and thirty-one |
| Binary (base 2) | 1100001010100111 |
| Octal (base 8) | 141247 |
| Hexadecimal (base 16) | C2A7 |
| Base 3 | 2112100121 |
| As time | 49831 seconds = 13 h 50 min 31 s |
Is 49831 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 1) | 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 5) | 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 1) | 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 49831 a prime number?
Yes. 49831 is divisible only by 1 and itself.
What are the factors of 49831?
1, 49831.
What is 49831 in binary?
1100001010100111 (hexadecimal C2A7, octal 141247).
What is the square root of 49831?
About 223.2286.
Is 49831 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 49831?
49831 is the 5118th prime number.