The number 27036
27036 is a composite number with 18 divisors. Its prime factorisation is × × 751. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 751, 1502, 2253, 3004, 4506, 6759, 9012 … 27036.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27036: a Harshad number: divisible by its digit sum 18.
- 2
27036 is composite. Its prime factorisation is
- 3
The divisors add up to 68432; without 27036 itself that is 41396, so 27036 is abundant (41396 is more than 27036). Euler's totient φ(27036) = 9000 numbers up to 27036 share no factor with it.
- 4
The digits of 27036 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 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27036 = 2^{2} \times 3^{2} \times 751 \]27036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 68432 |
| Euler totient φ(n) | 9000 |
| Square | 730945296 |
| Cube | 19761837022656 |
| Square root | 164.426275 (= 6√751) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7036 × |
27036 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and thirty-six |
| Binary (base 2) | 110100110011100 |
| Octal (base 8) | 64634 |
| Hexadecimal (base 16) | 699C |
| Base 3 | 1101002100 |
| As time | 27036 seconds = 7 h 30 min 36 s |
Is 27036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27036 ÷ 2 = 13518) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27036 ÷ 3 = 9012) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27036 ÷ 4 = 6759) | 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 (27036 ÷ 6 = 4506) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (27036 ÷ 9 = 3004) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27036 ÷ 12 = 2253) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27036 a prime number?
No. 27036 = × × 751, so it is divisible by 2.
What are the factors of 27036?
1, 2, 3, 4, 6, 9, 12, 18, 36, 751, 1502, 2253, 3004, 4506, 6759, 9012, 13518, 27036.
What is 27036 in binary?
110100110011100 (hexadecimal 699C, octal 64634).
What is the square root of 27036?
About 164.4263, exactly 6√751.
Is 27036 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27036?
27036 is a Harshad number: divisible by its digit sum 18.