The number 49871
49871 is the 5121st prime number. Its only divisors are 1 and 49871.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49871: the 5121st prime number.
- 2
49871 is prime, so its only factors are 1 and 49871. It is the 5121st prime; the next prime is 49877 and the one before is 49853.
- 3
The divisors add up to 49872; without 49871 itself that is 1, so 49871 is deficient (1 is less than 49871). Euler's totient φ(49871) = 49870 numbers up to 49871 share no factor with it.
- 4
The digits of 49871 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 233 steps to reach 1.
49871 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49872 |
| Euler totient φ(n) | 49870 |
| Square | 2487116641 |
| Cube | 124034994003311 |
| Square root | 223.318159 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 233 |
| Scientific notation | 4.9871 × |
49871 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and seventy-one |
| Binary (base 2) | 1100001011001111 |
| Octal (base 8) | 141317 |
| Hexadecimal (base 16) | C2CF |
| Base 3 | 2112102002 |
| As time | 49871 seconds = 13 h 51 min 11 s |
Is 49871 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 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 8) | 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 49871 a prime number?
Yes. 49871 is divisible only by 1 and itself.
What are the factors of 49871?
1, 49871.
What is 49871 in binary?
1100001011001111 (hexadecimal C2CF, octal 141317).
What is the square root of 49871?
About 223.3182.
Is 49871 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 49871?
49871 is the 5121st prime number.