The number 10808
10808 is a composite number with 16 divisors. Its prime factorisation is × 7 × 193. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 193, 386, 772, 1351, 1544, 2702, 5404, 10808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10808: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
10808 is composite. Its prime factorisation is
- 3
The divisors add up to 23280; without 10808 itself that is 12472, so 10808 is abundant (12472 is more than 10808). Euler's totient φ(10808) = 4608 numbers up to 10808 share no factor with it.
- 4
The digits of 10808 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10808 = 2^{3} \times 7 \times 193 \]10808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 23280 |
| Euler totient φ(n) | 4608 |
| Square | 116812864 |
| Cube | 1262513434112 |
| Square root | 103.961531 (= 2√2702) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 161 |
| Scientific notation | 1.0808 × |
10808 in other forms
| Form | Value |
|---|---|
| In words | ten thousand eight hundred and eight |
| Binary (base 2) | 10101000111000 |
| Octal (base 8) | 25070 |
| Hexadecimal (base 16) | 2A38 |
| Base 3 | 112211022 |
| As time | 10808 seconds = 3 h 0 min 8 s |
Is 10808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10808 ÷ 2 = 5404) | 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 (10808 ÷ 4 = 2702) | 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 | Yes (10808 ÷ 7 = 1544) | 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 (10808 ÷ 8 = 1351) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | 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 10808 a prime number?
No. 10808 = × 7 × 193, so it is divisible by 2.
What are the factors of 10808?
1, 2, 4, 7, 8, 14, 28, 56, 193, 386, 772, 1351, 1544, 2702, 5404, 10808.
What is 10808 in binary?
10101000111000 (hexadecimal 2A38, octal 25070).
What is the square root of 10808?
About 103.9615, exactly 2√2702.
Is 10808 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 10808?
10808 is a happy number: repeatedly adding the squares of its digits reaches 1.