The number 27604
27604 is a composite number with 12 divisors. Its prime factorisation is × 67 × 103. Divisors (12): 1, 2, 4, 67, 103, 134, 206, 268, 412, 6901, 13802, 27604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27604 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27604 is composite. Its prime factorisation is
- 3
The divisors add up to 49504; without 27604 itself that is 21900, so 27604 is deficient (21900 is less than 27604). Euler's totient φ(27604) = 13464 numbers up to 27604 share no factor with it.
- 4
The digits of 27604 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27604 = 2^{2} \times 67 \times 103 \]27604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49504 |
| Euler totient φ(n) | 13464 |
| Square | 761980816 |
| Cube | 21033718444864 |
| Square root | 166.144515 (= 2√6901) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7604 × |
27604 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand six hundred and four |
| Binary (base 2) | 110101111010100 |
| Octal (base 8) | 65724 |
| Hexadecimal (base 16) | 6BD4 |
| Base 3 | 1101212101 |
| As time | 27604 seconds = 7 h 40 min 4 s |
Is 27604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27604 ÷ 2 = 13802) | 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 (27604 ÷ 4 = 6901) | 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 3) | 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 1) | 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 5) | 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 27604 a prime number?
No. 27604 = × 67 × 103, so it is divisible by 2.
What are the factors of 27604?
1, 2, 4, 67, 103, 134, 206, 268, 412, 6901, 13802, 27604.
What is 27604 in binary?
110101111010100 (hexadecimal 6BD4, octal 65724).
What is the square root of 27604?
About 166.1445, exactly 2√6901.
Is 27604 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27604?
It is a composite number with 12 divisors.