The number 49331
49331 is a twin prime (49331 and 49333 are both prime) and the 5068th prime number. Its only divisors are 1 and 49331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49331: a twin prime (49331 and 49333 are both prime); the 5068th prime number.
- 2
49331 is prime, so its only factors are 1 and 49331. It is the 5068th prime; the next prime is 49333 and the one before is 49307.
- 3
The divisors add up to 49332; without 49331 itself that is 1, so 49331 is deficient (1 is less than 49331). Euler's totient φ(49331) = 49330 numbers up to 49331 share no factor with it.
- 4
The digits of 49331 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
49331 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49332 |
| Euler totient φ(n) | 49330 |
| Square | 2433547561 |
| Cube | 120049334731691 |
| Square root | 222.105831 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.9331 × |
49331 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and thirty-one |
| Binary (base 2) | 1100000010110011 |
| Octal (base 8) | 140263 |
| Hexadecimal (base 16) | C0B3 |
| Base 3 | 2111200002 |
| As time | 49331 seconds = 13 h 42 min 11 s |
Is 49331 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 1) | 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 2) | 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 2) | 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 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 49331 a prime number?
Yes. 49331 is divisible only by 1 and itself.
What are the factors of 49331?
1, 49331.
What is 49331 in binary?
1100000010110011 (hexadecimal C0B3, octal 140263).
What is the square root of 49331?
About 222.1058.
Is 49331 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 49331?
49331 is a twin prime (49331 and 49333 are both prime); the 5068th prime number.