The number 49031
49031 is a twin prime (49031 and 49033 are both prime) and the 5039th prime number. Its only divisors are 1 and 49031.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49031: a twin prime (49031 and 49033 are both prime); the 5039th prime number.
- 2
49031 is prime, so its only factors are 1 and 49031. It is the 5039th prime; the next prime is 49033 and the one before is 49019.
- 3
The divisors add up to 49032; without 49031 itself that is 1, so 49031 is deficient (1 is less than 49031). Euler's totient φ(49031) = 49030 numbers up to 49031 share no factor with it.
- 4
The digits of 49031 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 65 steps to reach 1.
49031 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49032 |
| Euler totient φ(n) | 49030 |
| Square | 2404038961 |
| Cube | 117872434296791 |
| Square root | 221.429447 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9031 × |
49031 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and thirty-one |
| Binary (base 2) | 1011111110000111 |
| Octal (base 8) | 137607 |
| Hexadecimal (base 16) | BF87 |
| Base 3 | 2111020222 |
| As time | 49031 seconds = 13 h 37 min 11 s |
Is 49031 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 3) | 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 8) | 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 4) | 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 49031 a prime number?
Yes. 49031 is divisible only by 1 and itself.
What are the factors of 49031?
1, 49031.
What is 49031 in binary?
1011111110000111 (hexadecimal BF87, octal 137607).
What is the square root of 49031?
About 221.4294.
Is 49031 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 49031?
49031 is a twin prime (49031 and 49033 are both prime); the 5039th prime number.