The number 18036
18036 is a composite number with 24 divisors. Its prime factorisation is × × 167. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 167, 334, 501, 668 … 18036.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18036: a Harshad number: divisible by its digit sum 18.
- 2
18036 is composite. Its prime factorisation is
- 3
The divisors add up to 47040; without 18036 itself that is 29004, so 18036 is abundant (29004 is more than 18036). Euler's totient φ(18036) = 5976 numbers up to 18036 share no factor with it.
- 4
The digits of 18036 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 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18036 = 2^{2} \times 3^{3} \times 167 \]18036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 47040 |
| Euler totient φ(n) | 5976 |
| Square | 325297296 |
| Cube | 5867062030656 |
| Square root | 134.298176 (= 6√501) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.8036 × |
18036 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and thirty-six |
| Binary (base 2) | 100011001110100 |
| Octal (base 8) | 43164 |
| Hexadecimal (base 16) | 4674 |
| Base 3 | 220202000 |
| As time | 18036 seconds = 5 h 0 min 36 s |
Is 18036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18036 ÷ 2 = 9018) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18036 ÷ 3 = 6012) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18036 ÷ 4 = 4509) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18036 ÷ 6 = 3006) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18036 ÷ 9 = 2004) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18036 ÷ 12 = 1503) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18036 a prime number?
No. 18036 = × × 167, so it is divisible by 2.
What are the factors of 18036?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 167, 334, 501, 668, 1002, 1503, 2004, 3006, 4509, 6012, 9018, 18036.
What is 18036 in binary?
100011001110100 (hexadecimal 4674, octal 43164).
What is the square root of 18036?
About 134.2982, exactly 6√501.
Is 18036 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18036?
18036 is a Harshad number: divisible by its digit sum 18.