The number 13838
13838 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 17 × 37. Divisors (16): 1, 2, 11, 17, 22, 34, 37, 74, 187, 374, 407, 629, 814, 1258, 6919, 13838.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13838 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13838 is composite. Its prime factorisation is
- 3
The divisors add up to 24624; without 13838 itself that is 10786, so 13838 is deficient (10786 is less than 13838). Euler's totient φ(13838) = 5760 numbers up to 13838 share no factor with it.
- 4
The digits of 13838 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 226 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13838 = 2 \times 11 \times 17 \times 37 \]
13838 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 24624 |
| Euler totient φ(n) | 5760 |
| Square | 191490244 |
| Cube | 2649841996472 |
| Square root | 117.635029 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 226 |
| Scientific notation | 1.3838 × |
13838 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and thirty-eight |
| Binary (base 2) | 11011000001110 |
| Octal (base 8) | 33016 |
| Hexadecimal (base 16) | 360E |
| Base 3 | 200222112 |
| As time | 13838 seconds = 3 h 50 min 38 s |
Is 13838 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13838 ÷ 2 = 6919) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13838 ÷ 11 = 1258) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13838 a prime number?
No. 13838 = 2 × 11 × 17 × 37, so it is divisible by 2.
What are the factors of 13838?
1, 2, 11, 17, 22, 34, 37, 74, 187, 374, 407, 629, 814, 1258, 6919, 13838.
What is 13838 in binary?
11011000001110 (hexadecimal 360E, octal 33016).
What is the square root of 13838?
About 117.6350.
Is 13838 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13838?
It is a composite number with 16 divisors.