The number 18450
18450 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 41. Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 41, 45, 50, 75, 82 … 18450.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18450: a Harshad number: divisible by its digit sum 18.
- 2
18450 is composite. Its prime factorisation is
- 3
The divisors add up to 50778; without 18450 itself that is 32328, so 18450 is abundant (32328 is more than 18450). Euler's totient φ(18450) = 4800 numbers up to 18450 share no factor with it.
- 4
The digits of 18450 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 229 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18450 = 2 \times 3^{2} \times 5^{2} \times 41 \]18450 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 50778 |
| Euler totient φ(n) | 4800 |
| Square | 340402500 |
| Cube | 6280426125000 |
| Square root | 135.830777 (= 15√82) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 229 |
| Scientific notation | 1.845 × |
18450 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and fifty |
| Binary (base 2) | 100100000010010 |
| Octal (base 8) | 44022 |
| Hexadecimal (base 16) | 4812 |
| Base 3 | 221022100 |
| As time | 18450 seconds = 5 h 7 min 30 s |
Is 18450 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18450 ÷ 2 = 9225) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18450 ÷ 3 = 6150) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18450 ÷ 5 = 3690) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18450 ÷ 6 = 3075) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18450 ÷ 9 = 2050) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18450 ÷ 10 = 1845) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18450 a prime number?
No. 18450 = 2 × × × 41, so it is divisible by 2.
What are the factors of 18450?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 41, 45, 50, 75, 82, 90, 123, 150, 205, 225, 246, 369, 410, 450, 615, 738, 1025, 1230, 1845, 2050, 3075, 3690, 6150, 9225, 18450.
What is 18450 in binary?
100100000010010 (hexadecimal 4812, octal 44022).
What is the square root of 18450?
About 135.8308, exactly 15√82.
Is 18450 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18450?
18450 is a Harshad number: divisible by its digit sum 18.