The number 13808
13808 is a composite number with 10 divisors. Its prime factorisation is × 863. Divisors (10): 1, 2, 4, 8, 16, 863, 1726, 3452, 6904, 13808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13808 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13808 is composite. Its prime factorisation is
- 3
The divisors add up to 26784; without 13808 itself that is 12976, so 13808 is deficient (12976 is less than 13808). Euler's totient φ(13808) = 6896 numbers up to 13808 share no factor with it.
- 4
The digits of 13808 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13808 = 2^{4} \times 863 \]13808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 26784 |
| Euler totient φ(n) | 6896 |
| Square | 190660864 |
| Cube | 2632645210112 |
| Square root | 117.507447 (= 4√863) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3808 × |
13808 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and eight |
| Binary (base 2) | 11010111110000 |
| Octal (base 8) | 32760 |
| Hexadecimal (base 16) | 35F0 |
| Base 3 | 200221102 |
| As time | 13808 seconds = 3 h 50 min 8 s |
Is 13808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13808 ÷ 2 = 6904) | 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 | Yes (13808 ÷ 4 = 3452) | 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 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 | Yes (13808 ÷ 8 = 1726) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13808 a prime number?
No. 13808 = × 863, so it is divisible by 2.
What are the factors of 13808?
1, 2, 4, 8, 16, 863, 1726, 3452, 6904, 13808.
What is 13808 in binary?
11010111110000 (hexadecimal 35F0, octal 32760).
What is the square root of 13808?
About 117.5074, exactly 4√863.
Is 13808 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13808?
It is a composite number with 10 divisors.