The number 27208
27208 is a composite number with 16 divisors. Its prime factorisation is × 19 × 179. Divisors (16): 1, 2, 4, 8, 19, 38, 76, 152, 179, 358, 716, 1432, 3401, 6802, 13604, 27208.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27208: a Harshad number: divisible by its digit sum 19.
- 2
27208 is composite. Its prime factorisation is
- 3
The divisors add up to 54000; without 27208 itself that is 26792, so 27208 is deficient (26792 is less than 27208). Euler's totient φ(27208) = 12816 numbers up to 27208 share no factor with it.
- 4
The digits of 27208 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27208 = 2^{3} \times 19 \times 179 \]27208 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 54000 |
| Euler totient φ(n) | 12816 |
| Square | 740275264 |
| Cube | 20141409382912 |
| Square root | 164.948477 (= 2√6802) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7208 × |
27208 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and eight |
| Binary (base 2) | 110101001001000 |
| Octal (base 8) | 65110 |
| Hexadecimal (base 16) | 6A48 |
| Base 3 | 1101022201 |
| As time | 27208 seconds = 7 h 33 min 28 s |
Is 27208 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27208 ÷ 2 = 13604) | 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 (27208 ÷ 4 = 6802) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 6) | 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 | Yes (27208 ÷ 8 = 3401) | 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 8) | 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 27208 a prime number?
No. 27208 = × 19 × 179, so it is divisible by 2.
What are the factors of 27208?
1, 2, 4, 8, 19, 38, 76, 152, 179, 358, 716, 1432, 3401, 6802, 13604, 27208.
What is 27208 in binary?
110101001001000 (hexadecimal 6A48, octal 65110).
What is the square root of 27208?
About 164.9485, exactly 2√6802.
Is 27208 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27208?
27208 is a Harshad number: divisible by its digit sum 19.