The number 8808
8808 is a composite number with 16 divisors. Its prime factorisation is × 3 × 367. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 367, 734, 1101, 1468, 2202, 2936, 4404, 8808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8808: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.
- 2
8808 is composite. Its prime factorisation is
- 3
The divisors add up to 22080; without 8808 itself that is 13272, so 8808 is abundant (13272 is more than 8808). Euler's totient φ(8808) = 2928 numbers up to 8808 share no factor with it.
- 4
The digits of 8808 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8808 = 2^{3} \times 3 \times 367 \]8808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 22080 |
| Euler totient φ(n) | 2928 |
| Square | 77580864 |
| Cube | 683332250112 |
| Square root | 93.850946 (= 2√2202) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 96 |
| Scientific notation | 8.808 × |
8808 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and eight |
| Binary (base 2) | 10001001101000 |
| Octal (base 8) | 21150 |
| Hexadecimal (base 16) | 2268 |
| Base 3 | 110002020 |
| As time | 8808 seconds = 2 h 26 min 48 s |
Is 8808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8808 ÷ 2 = 4404) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8808 ÷ 3 = 2936) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8808 ÷ 4 = 2202) | 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 | Yes (8808 ÷ 6 = 1468) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (8808 ÷ 8 = 1101) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8808 ÷ 12 = 734) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8808 a prime number?
No. 8808 = × 3 × 367, so it is divisible by 2.
What are the factors of 8808?
1, 2, 3, 4, 6, 8, 12, 24, 367, 734, 1101, 1468, 2202, 2936, 4404, 8808.
What is 8808 in binary?
10001001101000 (hexadecimal 2268, octal 21150).
What is the square root of 8808?
About 93.8509, exactly 2√2202.
Is 8808 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 8808?
8808 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.