The number 27210
27210 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 907. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 907, 1814, 2721, 4535, 5442, 9070, 13605, 27210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27210 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27210 is composite. Its prime factorisation is
- 3
The divisors add up to 65376; without 27210 itself that is 38166, so 27210 is abundant (38166 is more than 27210). Euler's totient φ(27210) = 7248 numbers up to 27210 share no factor with it.
- 4
The digits of 27210 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27210 = 2 \times 3 \times 5 \times 907 \]
27210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 65376 |
| Euler totient φ(n) | 7248 |
| Square | 740384100 |
| Cube | 20145851361000 |
| Square root | 164.954539 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.721 × |
27210 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and ten |
| Binary (base 2) | 110101001001010 |
| Octal (base 8) | 65112 |
| Hexadecimal (base 16) | 6A4A |
| Base 3 | 1101022210 |
| As time | 27210 seconds = 7 h 33 min 30 s |
Is 27210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27210 ÷ 2 = 13605) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27210 ÷ 3 = 9070) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27210 ÷ 5 = 5442) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27210 ÷ 6 = 4535) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (27210 ÷ 10 = 2721) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27210 a prime number?
No. 27210 = 2 × 3 × 5 × 907, so it is divisible by 2.
What are the factors of 27210?
1, 2, 3, 5, 6, 10, 15, 30, 907, 1814, 2721, 4535, 5442, 9070, 13605, 27210.
What is 27210 in binary?
110101001001010 (hexadecimal 6A4A, octal 65112).
What is the square root of 27210?
About 164.9545.
Is 27210 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 27210?
It is a composite number with 16 divisors.