The number 27204
27204 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2267. Divisors (12): 1, 2, 3, 4, 6, 12, 2267, 4534, 6801, 9068, 13602, 27204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27204 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27204 is composite. Its prime factorisation is
- 3
The divisors add up to 63504; without 27204 itself that is 36300, so 27204 is abundant (36300 is more than 27204). Euler's totient φ(27204) = 9064 numbers up to 27204 share no factor with it.
- 4
The digits of 27204 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27204 = 2^{2} \times 3 \times 2267 \]27204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63504 |
| Euler totient φ(n) | 9064 |
| Square | 740057616 |
| Cube | 20132527385664 |
| Square root | 164.936351 (= 2√6801) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7204 × |
27204 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and four |
| Binary (base 2) | 110101001000100 |
| Octal (base 8) | 65104 |
| Hexadecimal (base 16) | 6A44 |
| Base 3 | 1101022120 |
| As time | 27204 seconds = 7 h 33 min 24 s |
Is 27204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27204 ÷ 2 = 13602) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27204 ÷ 3 = 9068) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27204 ÷ 4 = 6801) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27204 ÷ 6 = 4534) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (27204 ÷ 12 = 2267) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27204 a prime number?
No. 27204 = × 3 × 2267, so it is divisible by 2.
What are the factors of 27204?
1, 2, 3, 4, 6, 12, 2267, 4534, 6801, 9068, 13602, 27204.
What is 27204 in binary?
110101001000100 (hexadecimal 6A44, octal 65104).
What is the square root of 27204?
About 164.9364, exactly 2√6801.
Is 27204 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 27204?
It is a composite number with 12 divisors.