The number 27004
27004 is a composite number with 12 divisors. Its prime factorisation is × 43 × 157. Divisors (12): 1, 2, 4, 43, 86, 157, 172, 314, 628, 6751, 13502, 27004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27004 is composite. Its prime factorisation is
- 3
The divisors add up to 48664; without 27004 itself that is 21660, so 27004 is deficient (21660 is less than 27004). Euler's totient φ(27004) = 13104 numbers up to 27004 share no factor with it.
- 4
The digits of 27004 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27004 = 2^{2} \times 43 \times 157 \]27004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 48664 |
| Euler totient φ(n) | 13104 |
| Square | 729216016 |
| Cube | 19691749296064 |
| Square root | 164.328938 (= 2√6751) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7004 × |
27004 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and four |
| Binary (base 2) | 110100101111100 |
| Octal (base 8) | 64574 |
| Hexadecimal (base 16) | 697C |
| Base 3 | 1101001011 |
| As time | 27004 seconds = 7 h 30 min 4 s |
Is 27004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27004 ÷ 2 = 13502) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (27004 ÷ 4 = 6751) | 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 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27004 a prime number?
No. 27004 = × 43 × 157, so it is divisible by 2.
What are the factors of 27004?
1, 2, 4, 43, 86, 157, 172, 314, 628, 6751, 13502, 27004.
What is 27004 in binary?
110100101111100 (hexadecimal 697C, octal 64574).
What is the square root of 27004?
About 164.3289, exactly 2√6751.
Is 27004 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 27004?
It is a composite number with 12 divisors.