The number 27209
27209 is a composite number with 12 divisors. Its prime factorisation is 7 × × 23. Divisors (12): 1, 7, 13, 23, 91, 161, 169, 299, 1183, 2093, 3887, 27209.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27209 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27209 is composite. Its prime factorisation is
- 3
The divisors add up to 35136; without 27209 itself that is 7927, so 27209 is deficient (7927 is less than 27209). Euler's totient φ(27209) = 20592 numbers up to 27209 share no factor with it.
- 4
The digits of 27209 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27209 = 7 \times 13^{2} \times 23 \]27209 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 35136 |
| Euler totient φ(n) | 20592 |
| Square | 740329681 |
| Cube | 20143630290329 |
| Square root | 164.951508 (= 13√161) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 183 |
| Scientific notation | 2.7209 × |
27209 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and nine |
| Binary (base 2) | 110101001001001 |
| Octal (base 8) | 65111 |
| Hexadecimal (base 16) | 6A49 |
| Base 3 | 1101022202 |
| As time | 27209 seconds = 7 h 33 min 29 s |
Is 27209 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27209 ÷ 7 = 3887) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27209 a prime number?
No. 27209 = 7 × × 23, so it is divisible by 7.
What are the factors of 27209?
1, 7, 13, 23, 91, 161, 169, 299, 1183, 2093, 3887, 27209.
What is 27209 in binary?
110101001001001 (hexadecimal 6A49, octal 65111).
What is the square root of 27209?
About 164.9515, exactly 13√161.
Is 27209 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27209?
It is a composite number with 12 divisors.