The number 18220
18220 is a composite number with 12 divisors. Its prime factorisation is × 5 × 911. Divisors (12): 1, 2, 4, 5, 10, 20, 911, 1822, 3644, 4555, 9110, 18220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18220 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18220 is composite. Its prime factorisation is
- 3
The divisors add up to 38304; without 18220 itself that is 20084, so 18220 is abundant (20084 is more than 18220). Euler's totient φ(18220) = 7280 numbers up to 18220 share no factor with it.
- 4
The digits of 18220 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18220 = 2^{2} \times 5 \times 911 \]18220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 38304 |
| Euler totient φ(n) | 7280 |
| Square | 331968400 |
| Cube | 6048464248000 |
| Square root | 134.981480 (= 2√4555) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.822 × |
18220 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand two hundred and twenty |
| Binary (base 2) | 100011100101100 |
| Octal (base 8) | 43454 |
| Hexadecimal (base 16) | 472C |
| Base 3 | 220222211 |
| As time | 18220 seconds = 5 h 3 min 40 s |
Is 18220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18220 ÷ 2 = 9110) | 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 (18220 ÷ 4 = 4555) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18220 ÷ 5 = 3644) | 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 6) | 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 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18220 ÷ 10 = 1822) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 18220 a prime number?
No. 18220 = × 5 × 911, so it is divisible by 2.
What are the factors of 18220?
1, 2, 4, 5, 10, 20, 911, 1822, 3644, 4555, 9110, 18220.
What is 18220 in binary?
100011100101100 (hexadecimal 472C, octal 43454).
What is the square root of 18220?
About 134.9815, exactly 2√4555.
Is 18220 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 18220?
It is a composite number with 12 divisors.