The number 13879
13879 is a twin prime (13877 and 13879 are both prime) and the 1640th prime number. Its only divisors are 1 and 13879.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13879: a twin prime (13877 and 13879 are both prime); the 1640th prime number.
- 2
13879 is prime, so its only factors are 1 and 13879. It is the 1640th prime; the next prime is 13883 and the one before is 13877.
- 3
The divisors add up to 13880; without 13879 itself that is 1, so 13879 is deficient (1 is less than 13879). Euler's totient φ(13879) = 13878 numbers up to 13879 share no factor with it.
- 4
The digits of 13879 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
13879 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13880 |
| Euler totient φ(n) | 13878 |
| Square | 192626641 |
| Cube | 2673465150439 |
| Square root | 117.809168 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3879 × |
13879 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and seventy-nine |
| Binary (base 2) | 11011000110111 |
| Octal (base 8) | 33067 |
| Hexadecimal (base 16) | 3637 |
| Base 3 | 201001001 |
| As time | 13879 seconds = 3 h 51 min 19 s |
Is 13879 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 4) | 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 5) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13879 a prime number?
Yes. 13879 is divisible only by 1 and itself.
What are the factors of 13879?
1, 13879.
What is 13879 in binary?
11011000110111 (hexadecimal 3637, octal 33067).
What is the square root of 13879?
About 117.8092.
Is 13879 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 13879?
13879 is a twin prime (13877 and 13879 are both prime); the 1640th prime number.