The number 18200
18200 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 13. Divisors (48): 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 25, 26, 28, 35, 40, 50 … 18200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18200 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18200 is composite. Its prime factorisation is
- 3
The divisors add up to 52080; without 18200 itself that is 33880, so 18200 is abundant (33880 is more than 18200). Euler's totient φ(18200) = 5760 numbers up to 18200 share no factor with it.
- 4
The digits of 18200 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 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18200 = 2^{3} \times 5^{2} \times 7 \times 13 \]18200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 52080 |
| Euler totient φ(n) | 5760 |
| Square | 331240000 |
| Cube | 6028568000000 |
| Square root | 134.907376 (= 10√182) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 22 |
| Scientific notation | 1.82 × |
18200 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand two hundred |
| Binary (base 2) | 100011100011000 |
| Octal (base 8) | 43430 |
| Hexadecimal (base 16) | 4718 |
| Base 3 | 220222002 |
| As time | 18200 seconds = 5 h 3 min 20 s |
Is 18200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18200 ÷ 2 = 9100) | 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 (18200 ÷ 4 = 4550) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18200 ÷ 5 = 3640) | 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 | Yes (18200 ÷ 7 = 2600) | 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 (18200 ÷ 8 = 2275) | 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 (18200 ÷ 10 = 1820) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 18200 a prime number?
No. 18200 = × × 7 × 13, so it is divisible by 2.
What are the factors of 18200?
1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 25, 26, 28, 35, 40, 50, 52, 56, 65, 70, 91, 100, 104, 130, 140, 175, 182, 200, 260, 280, 325, 350, 364, 455, 520, 650, 700, 728, 910, 1300, 1400, 1820, 2275, 2600, 3640, 4550, 9100, 18200.
What is 18200 in binary?
100011100011000 (hexadecimal 4718, octal 43430).
What is the square root of 18200?
About 134.9074, exactly 10√182.
Is 18200 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 18200?
It is a composite number with 48 divisors.