The number 13839
13839 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 659. Divisors (8): 1, 3, 7, 21, 659, 1977, 4613, 13839.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13839 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13839 is composite. Its prime factorisation is
- 3
The divisors add up to 21120; without 13839 itself that is 7281, so 13839 is deficient (7281 is less than 13839). Euler's totient φ(13839) = 7896 numbers up to 13839 share no factor with it.
- 4
The digits of 13839 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 226 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13839 = 3 \times 7 \times 659 \]
13839 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21120 |
| Euler totient φ(n) | 7896 |
| Square | 191517921 |
| Cube | 2650416508719 |
| Square root | 117.639279 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 226 |
| Scientific notation | 1.3839 × |
13839 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and thirty-nine |
| Binary (base 2) | 11011000001111 |
| Octal (base 8) | 33017 |
| Hexadecimal (base 16) | 360F |
| Base 3 | 200222120 |
| As time | 13839 seconds = 3 h 50 min 39 s |
Is 13839 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 | Yes (13839 ÷ 3 = 4613) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13839 ÷ 7 = 1977) | 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 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13839 a prime number?
No. 13839 = 3 × 7 × 659, so it is divisible by 3.
What are the factors of 13839?
1, 3, 7, 21, 659, 1977, 4613, 13839.
What is 13839 in binary?
11011000001111 (hexadecimal 360F, octal 33017).
What is the square root of 13839?
About 117.6393.
Is 13839 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13839?
It is a composite number with 8 divisors.