The number 13877
13877 is a twin prime (13877 and 13879 are both prime) and the 1639th prime number. Its only divisors are 1 and 13877.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13877: a twin prime (13877 and 13879 are both prime); the 1639th prime number.
- 2
13877 is prime, so its only factors are 1 and 13877. It is the 1639th prime; the next prime is 13879 and the one before is 13873.
- 3
The divisors add up to 13878; without 13877 itself that is 1, so 13877 is deficient (1 is less than 13877). Euler's totient φ(13877) = 13876 numbers up to 13877 share no factor with it.
- 4
The digits of 13877 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
13877 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13878 |
| Euler totient φ(n) | 13876 |
| Square | 192571129 |
| Cube | 2672309557133 |
| Square root | 117.800679 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3877 × |
13877 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and seventy-seven |
| Binary (base 2) | 11011000110101 |
| Octal (base 8) | 33065 |
| Hexadecimal (base 16) | 3635 |
| Base 3 | 201000222 |
| As time | 13877 seconds = 3 h 51 min 17 s |
Is 13877 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 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 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 6) | 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 13877 a prime number?
Yes. 13877 is divisible only by 1 and itself.
What are the factors of 13877?
1, 13877.
What is 13877 in binary?
11011000110101 (hexadecimal 3635, octal 33065).
What is the square root of 13877?
About 117.8007.
Is 13877 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 13877?
13877 is a twin prime (13877 and 13879 are both prime); the 1639th prime number.