The number 36027
36027 is a composite number with 6 divisors. Its prime factorisation is × 4003. Divisors (6): 1, 3, 9, 4003, 12009, 36027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36027 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36027 is composite. Its prime factorisation is
- 3
The divisors add up to 52052; without 36027 itself that is 16025, so 36027 is deficient (16025 is less than 36027). Euler's totient φ(36027) = 24012 numbers up to 36027 share no factor with it.
- 4
The digits of 36027 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36027 = 3^{2} \times 4003 \]36027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 52052 |
| Euler totient φ(n) | 24012 |
| Square | 1297944729 |
| Cube | 46761054751683 |
| Square root | 189.807798 (= 3√4003) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.6027 × |
36027 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and twenty-seven |
| Binary (base 2) | 1000110010111011 |
| Octal (base 8) | 106273 |
| Hexadecimal (base 16) | 8CBB |
| Base 3 | 1211102100 |
| As time | 36027 seconds = 10 h 0 min 27 s |
Is 36027 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36027 ÷ 3 = 12009) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (36027 ÷ 9 = 4003) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36027 a prime number?
No. 36027 = × 4003, so it is divisible by 3.
What are the factors of 36027?
1, 3, 9, 4003, 12009, 36027.
What is 36027 in binary?
1000110010111011 (hexadecimal 8CBB, octal 106273).
What is the square root of 36027?
About 189.8078, exactly 3√4003.
Is 36027 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 36027?
It is a composite number with 6 divisors.