The number 8920
8920 is a composite number with 16 divisors. Its prime factorisation is × 5 × 223. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 223, 446, 892, 1115, 1784, 2230, 4460, 8920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8920 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 8920 itself that is 11240, so 8920 is abundant (11240 is more than 8920). Euler's totient φ(8920) = 3552 numbers up to 8920 share no factor with it.
- 4
The digits of 8920 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8920 = 2^{3} \times 5 \times 223 \]8920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 3552 |
| Square | 79566400 |
| Cube | 709732288000 |
| Square root | 94.445752 (= 2√2230) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 96 |
| Scientific notation | 8.92 × |
8920 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and twenty |
| Binary (base 2) | 10001011011000 |
| Octal (base 8) | 21330 |
| Hexadecimal (base 16) | 22D8 |
| Base 3 | 110020101 |
| As time | 8920 seconds = 2 h 28 min 40 s |
Is 8920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8920 ÷ 2 = 4460) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8920 ÷ 4 = 2230) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8920 ÷ 5 = 1784) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (8920 ÷ 8 = 1115) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8920 ÷ 10 = 892) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8920 a prime number?
No. 8920 = × 5 × 223, so it is divisible by 2.
What are the factors of 8920?
1, 2, 4, 5, 8, 10, 20, 40, 223, 446, 892, 1115, 1784, 2230, 4460, 8920.
What is 8920 in binary?
10001011011000 (hexadecimal 22D8, octal 21330).
What is the square root of 8920?
About 94.4458, exactly 2√2230.
Is 8920 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8920?
It is a composite number with 16 divisors.