The number 8820
8820 is a composite number with 54 divisors. Its prime factorisation is × × 5 × . Divisors (54): 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28 … 8820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8820: a Harshad number: divisible by its digit sum 18.
- 2
8820 is composite. Its prime factorisation is
- 3
The divisors add up to 31122; without 8820 itself that is 22302, so 8820 is abundant (22302 is more than 8820). Euler's totient φ(8820) = 2016 numbers up to 8820 share no factor with it.
- 4
The digits of 8820 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8820 = 2^{2} \times 3^{2} \times 5 \times 7^{2} \]8820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 31122 |
| Euler totient φ(n) | 2016 |
| Square | 77792400 |
| Cube | 686128968000 |
| Square root | 93.914855 (= 42√5) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.82 × |
8820 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and twenty |
| Binary (base 2) | 10001001110100 |
| Octal (base 8) | 21164 |
| Hexadecimal (base 16) | 2274 |
| Base 3 | 110002200 |
| As time | 8820 seconds = 2 h 27 min 0 s |
Is 8820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8820 ÷ 2 = 4410) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8820 ÷ 3 = 2940) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8820 ÷ 4 = 2205) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8820 ÷ 5 = 1764) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8820 ÷ 6 = 1470) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8820 ÷ 7 = 1260) | 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 | Yes (8820 ÷ 9 = 980) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8820 ÷ 10 = 882) | 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 (8820 ÷ 12 = 735) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8820 a prime number?
No. 8820 = × × 5 × , so it is divisible by 2.
What are the factors of 8820?
1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 49, 60, 63, 70, 84, 90, 98, 105, 126, 140, 147, 180, 196, 210, 245, 252, 294, 315, 420, 441, 490, 588, 630, 735, 882, 980, 1260, 1470, 1764, 2205, 2940, 4410, 8820.
What is 8820 in binary?
10001001110100 (hexadecimal 2274, octal 21164).
What is the square root of 8820?
About 93.9149, exactly 42√5.
Is 8820 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8820?
8820 is a Harshad number: divisible by its digit sum 18.