The number 18150
18150 is a composite number with 36 divisors. Its prime factorisation is 2 × 3 × × . Divisors (36): 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75 … 18150.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18150: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.
- 2
18150 is composite. Its prime factorisation is
- 3
The divisors add up to 49476; without 18150 itself that is 31326, so 18150 is abundant (31326 is more than 18150). Euler's totient φ(18150) = 4400 numbers up to 18150 share no factor with it.
- 4
The digits of 18150 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18150 = 2 \times 3 \times 5^{2} \times 11^{2} \]18150 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 49476 |
| Euler totient φ(n) | 4400 |
| Square | 329422500 |
| Cube | 5979018375000 |
| Square root | 134.721936 (= 55√6) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.815 × |
18150 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and fifty |
| Binary (base 2) | 100011011100110 |
| Octal (base 8) | 43346 |
| Hexadecimal (base 16) | 46E6 |
| Base 3 | 220220020 |
| As time | 18150 seconds = 5 h 2 min 30 s |
Is 18150 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18150 ÷ 2 = 9075) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18150 ÷ 3 = 6050) | 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 (18150 ÷ 5 = 3630) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18150 ÷ 6 = 3025) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18150 ÷ 10 = 1815) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (18150 ÷ 11 = 1650) | 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 18150 a prime number?
No. 18150 = 2 × 3 × × , so it is divisible by 2.
What are the factors of 18150?
1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 121, 150, 165, 242, 275, 330, 363, 550, 605, 726, 825, 1210, 1650, 1815, 3025, 3630, 6050, 9075, 18150.
What is 18150 in binary?
100011011100110 (hexadecimal 46E6, octal 43346).
What is the square root of 18150?
About 134.7219, exactly 55√6.
Is 18150 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 18150?
18150 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.