The number 36018
36018 is a composite number with 32 divisors. Its prime factorisation is 2 × × 23 × 29. Divisors (32): 1, 2, 3, 6, 9, 18, 23, 27, 29, 46, 54, 58, 69, 87, 138, 174 … 36018.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36018: a Harshad number: divisible by its digit sum 18.
- 2
36018 is composite. Its prime factorisation is
- 3
The divisors add up to 86400; without 36018 itself that is 50382, so 36018 is abundant (50382 is more than 36018). Euler's totient φ(36018) = 11088 numbers up to 36018 share no factor with it.
- 4
The digits of 36018 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36018 = 2 \times 3^{3} \times 23 \times 29 \]36018 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 86400 |
| Euler totient φ(n) | 11088 |
| Square | 1297296324 |
| Cube | 46726018997832 |
| Square root | 189.784088 (= 3√4002) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.6018 × |
36018 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and eighteen |
| Binary (base 2) | 1000110010110010 |
| Octal (base 8) | 106262 |
| Hexadecimal (base 16) | 8CB2 |
| Base 3 | 1211102000 |
| As time | 36018 seconds = 10 h 0 min 18 s |
Is 36018 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36018 ÷ 2 = 18009) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36018 ÷ 3 = 12006) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36018 ÷ 6 = 6003) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (36018 ÷ 9 = 4002) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 36018 a prime number?
No. 36018 = 2 × × 23 × 29, so it is divisible by 2.
What are the factors of 36018?
1, 2, 3, 6, 9, 18, 23, 27, 29, 46, 54, 58, 69, 87, 138, 174, 207, 261, 414, 522, 621, 667, 783, 1242, 1334, 1566, 2001, 4002, 6003, 12006, 18009, 36018.
What is 36018 in binary?
1000110010110010 (hexadecimal 8CB2, octal 106262).
What is the square root of 36018?
About 189.7841, exactly 3√4002.
Is 36018 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 36018?
36018 is a Harshad number: divisible by its digit sum 18.