The number 18020
18020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17 × 53. Divisors (24): 1, 2, 4, 5, 10, 17, 20, 34, 53, 68, 85, 106, 170, 212, 265, 340 … 18020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18020 is composite. Its prime factorisation is
- 3
The divisors add up to 40824; without 18020 itself that is 22804, so 18020 is abundant (22804 is more than 18020). Euler's totient φ(18020) = 6656 numbers up to 18020 share no factor with it.
- 4
The digits of 18020 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18020 = 2^{2} \times 5 \times 17 \times 53 \]18020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 40824 |
| Euler totient φ(n) | 6656 |
| Square | 324720400 |
| Cube | 5851461608000 |
| Square root | 134.238594 (= 2√4505) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.802 × |
18020 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and twenty |
| Binary (base 2) | 100011001100100 |
| Octal (base 8) | 43144 |
| Hexadecimal (base 16) | 4664 |
| Base 3 | 220201102 |
| As time | 18020 seconds = 5 h 0 min 20 s |
Is 18020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18020 ÷ 2 = 9010) | 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 (18020 ÷ 4 = 4505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18020 ÷ 5 = 3604) | 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 | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18020 ÷ 10 = 1802) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 18020 a prime number?
No. 18020 = × 5 × 17 × 53, so it is divisible by 2.
What are the factors of 18020?
1, 2, 4, 5, 10, 17, 20, 34, 53, 68, 85, 106, 170, 212, 265, 340, 530, 901, 1060, 1802, 3604, 4505, 9010, 18020.
What is 18020 in binary?
100011001100100 (hexadecimal 4664, octal 43144).
What is the square root of 18020?
About 134.2386, exactly 2√4505.
Is 18020 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 18020?
It is a composite number with 24 divisors.