The number 13836
13836 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1153. Divisors (12): 1, 2, 3, 4, 6, 12, 1153, 2306, 3459, 4612, 6918, 13836.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13836 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13836 is composite. Its prime factorisation is
- 3
The divisors add up to 32312; without 13836 itself that is 18476, so 13836 is abundant (18476 is more than 13836). Euler's totient φ(13836) = 4608 numbers up to 13836 share no factor with it.
- 4
The digits of 13836 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13836 = 2^{2} \times 3 \times 1153 \]13836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 32312 |
| Euler totient φ(n) | 4608 |
| Square | 191434896 |
| Cube | 2648693221056 |
| Square root | 117.626528 (= 2√3459) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3836 × |
13836 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and thirty-six |
| Binary (base 2) | 11011000001100 |
| Octal (base 8) | 33014 |
| Hexadecimal (base 16) | 360C |
| Base 3 | 200222110 |
| As time | 13836 seconds = 3 h 50 min 36 s |
Is 13836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13836 ÷ 2 = 6918) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13836 ÷ 3 = 4612) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13836 ÷ 4 = 3459) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13836 ÷ 6 = 2306) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13836 ÷ 12 = 1153) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13836 a prime number?
No. 13836 = × 3 × 1153, so it is divisible by 2.
What are the factors of 13836?
1, 2, 3, 4, 6, 12, 1153, 2306, 3459, 4612, 6918, 13836.
What is 13836 in binary?
11011000001100 (hexadecimal 360C, octal 33014).
What is the square root of 13836?
About 117.6265, exactly 2√3459.
Is 13836 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13836?
It is a composite number with 12 divisors.