The number 49891
49891 is the 5123rd prime number. Its only divisors are 1 and 49891.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49891: the 5123rd prime number.
- 2
49891 is prime, so its only factors are 1 and 49891. It is the 5123rd prime; the next prime is 49919 and the one before is 49877.
- 3
The divisors add up to 49892; without 49891 itself that is 1, so 49891 is deficient (1 is less than 49891). Euler's totient φ(49891) = 49890 numbers up to 49891 share no factor with it.
- 4
The digits of 49891 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
49891 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49892 |
| Euler totient φ(n) | 49890 |
| Square | 2489111881 |
| Cube | 124184280854971 |
| Square root | 223.362933 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9891 × |
49891 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and ninety-one |
| Binary (base 2) | 1100001011100011 |
| Octal (base 8) | 141343 |
| Hexadecimal (base 16) | C2E3 |
| Base 3 | 2112102211 |
| As time | 49891 seconds = 13 h 51 min 31 s |
Is 49891 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 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 4) | 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 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 49891 a prime number?
Yes. 49891 is divisible only by 1 and itself.
What are the factors of 49891?
1, 49891.
What is 49891 in binary?
1100001011100011 (hexadecimal C2E3, octal 141343).
What is the square root of 49891?
About 223.3629.
Is 49891 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 49891?
49891 is the 5123rd prime number.