The number 27220
27220 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1361. Divisors (12): 1, 2, 4, 5, 10, 20, 1361, 2722, 5444, 6805, 13610, 27220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27220 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27220 is composite. Its prime factorisation is
- 3
The divisors add up to 57204; without 27220 itself that is 29984, so 27220 is abundant (29984 is more than 27220). Euler's totient φ(27220) = 10880 numbers up to 27220 share no factor with it.
- 4
The digits of 27220 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 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27220 = 2^{2} \times 5 \times 1361 \]27220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57204 |
| Euler totient φ(n) | 10880 |
| Square | 740928400 |
| Cube | 20168071048000 |
| Square root | 164.984848 (= 2√6805) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.722 × |
27220 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and twenty |
| Binary (base 2) | 110101001010100 |
| Octal (base 8) | 65124 |
| Hexadecimal (base 16) | 6A54 |
| Base 3 | 1101100011 |
| As time | 27220 seconds = 7 h 33 min 40 s |
Is 27220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27220 ÷ 2 = 13610) | 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 (27220 ÷ 4 = 6805) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (27220 ÷ 5 = 5444) | 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 4) | 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 | Yes (27220 ÷ 10 = 2722) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27220 a prime number?
No. 27220 = × 5 × 1361, so it is divisible by 2.
What are the factors of 27220?
1, 2, 4, 5, 10, 20, 1361, 2722, 5444, 6805, 13610, 27220.
What is 27220 in binary?
110101001010100 (hexadecimal 6A54, octal 65124).
What is the square root of 27220?
About 164.9848, exactly 2√6805.
Is 27220 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 27220?
It is a composite number with 12 divisors.