The number 18162
18162 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1009. Divisors (12): 1, 2, 3, 6, 9, 18, 1009, 2018, 3027, 6054, 9081, 18162.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18162: a Harshad number: divisible by its digit sum 18.
- 2
18162 is composite. Its prime factorisation is
- 3
The divisors add up to 39390; without 18162 itself that is 21228, so 18162 is abundant (21228 is more than 18162). Euler's totient φ(18162) = 6048 numbers up to 18162 share no factor with it.
- 4
The digits of 18162 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 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18162 = 2 \times 3^{2} \times 1009 \]18162 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 39390 |
| Euler totient φ(n) | 6048 |
| Square | 329858244 |
| Cube | 5990885427528 |
| Square root | 134.766465 (= 3√2018) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.8162 × |
18162 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand one hundred and sixty-two |
| Binary (base 2) | 100011011110010 |
| Octal (base 8) | 43362 |
| Hexadecimal (base 16) | 46F2 |
| Base 3 | 220220200 |
| As time | 18162 seconds = 5 h 2 min 42 s |
Is 18162 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18162 ÷ 2 = 9081) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18162 ÷ 3 = 6054) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18162 ÷ 6 = 3027) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (18162 ÷ 9 = 2018) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 18162 a prime number?
No. 18162 = 2 × × 1009, so it is divisible by 2.
What are the factors of 18162?
1, 2, 3, 6, 9, 18, 1009, 2018, 3027, 6054, 9081, 18162.
What is 18162 in binary?
100011011110010 (hexadecimal 46F2, octal 43362).
What is the square root of 18162?
About 134.7665, exactly 3√2018.
Is 18162 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18162?
18162 is a Harshad number: divisible by its digit sum 18.