The number 36000
36000 is a composite number with 72 divisors. Its prime factorisation is × × . Divisors (72): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25 … 36000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36000: a Harshad number: divisible by its digit sum 9.
- 2
36000 is composite. Its prime factorisation is
- 3
The divisors add up to 127764; without 36000 itself that is 91764, so 36000 is abundant (91764 is more than 36000). Euler's totient φ(36000) = 9600 numbers up to 36000 share no factor with it.
- 4
The digits of 36000 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36000 = 2^{5} \times 3^{2} \times 5^{3} \]36000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 127764 |
| Euler totient φ(n) | 9600 |
| Square | 1296000000 |
| Cube | 46656000000000 |
| Square root | 189.736660 (= 60√10) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.6 × |
36000 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand |
| Binary (base 2) | 1000110010100000 |
| Octal (base 8) | 106240 |
| Hexadecimal (base 16) | 8CA0 |
| Base 3 | 1211101100 |
| As time | 36000 seconds = 10 h 0 min 0 s |
Is 36000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36000 ÷ 2 = 18000) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36000 ÷ 3 = 12000) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36000 ÷ 4 = 9000) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36000 ÷ 5 = 7200) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36000 ÷ 6 = 6000) | 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 | Yes (36000 ÷ 8 = 4500) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36000 ÷ 9 = 4000) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (36000 ÷ 10 = 3600) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36000 ÷ 12 = 3000) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36000 a prime number?
No. 36000 = × × , so it is divisible by 2.
What are the factors of 36000?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 125, 144, 150, 160, 180, 200, 225, 240, 250, 288, 300, 360, 375, 400, 450, 480, 500, 600, 720, 750, 800, 900, 1000, 1125, 1200, 1440, 1500, 1800, 2000, 2250, 2400, 3000, 3600, 4000, 4500, 6000, 7200, 9000, 12000, 18000, 36000.
What is 36000 in binary?
1000110010100000 (hexadecimal 8CA0, octal 106240).
What is the square root of 36000?
About 189.7367, exactly 60√10.
Is 36000 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 36000?
36000 is a Harshad number: divisible by its digit sum 9.