The number 49877
49877 is the 5122nd prime number. Its only divisors are 1 and 49877.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49877: the 5122nd prime number.
- 2
49877 is prime, so its only factors are 1 and 49877. It is the 5122nd prime; the next prime is 49891 and the one before is 49871.
- 3
The divisors add up to 49878; without 49877 itself that is 1, so 49877 is deficient (1 is less than 49877). Euler's totient φ(49877) = 49876 numbers up to 49877 share no factor with it.
- 4
The digits of 49877 add up to 35, 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.
49877 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49878 |
| Euler totient φ(n) | 49876 |
| Square | 2487715129 |
| Cube | 124079767489133 |
| Square root | 223.331592 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9877 × |
49877 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and seventy-seven |
| Binary (base 2) | 1100001011010101 |
| Octal (base 8) | 141325 |
| Hexadecimal (base 16) | C2D5 |
| Base 3 | 2112102022 |
| As time | 49877 seconds = 13 h 51 min 17 s |
Is 49877 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49877 a prime number?
Yes. 49877 is divisible only by 1 and itself.
What are the factors of 49877?
1, 49877.
What is 49877 in binary?
1100001011010101 (hexadecimal C2D5, octal 141325).
What is the square root of 49877?
About 223.3316.
Is 49877 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 49877?
49877 is the 5122nd prime number.