The number 27222
27222 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 349. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 349, 698, 1047, 2094, 4537, 9074, 13611, 27222.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27222 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27222 is composite. Its prime factorisation is
- 3
The divisors add up to 58800; without 27222 itself that is 31578, so 27222 is abundant (31578 is more than 27222). Euler's totient φ(27222) = 8352 numbers up to 27222 share no factor with it.
- 4
The digits of 27222 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27222 = 2 \times 3 \times 13 \times 349 \]
27222 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 58800 |
| Euler totient φ(n) | 8352 |
| Square | 741037284 |
| Cube | 20172516945048 |
| Square root | 164.990909 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7222 × |
27222 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and twenty-two |
| Binary (base 2) | 110101001010110 |
| Octal (base 8) | 65126 |
| Hexadecimal (base 16) | 6A56 |
| Base 3 | 1101100020 |
| As time | 27222 seconds = 7 h 33 min 42 s |
Is 27222 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27222 ÷ 2 = 13611) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27222 ÷ 3 = 9074) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (27222 ÷ 6 = 4537) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 27222 a prime number?
No. 27222 = 2 × 3 × 13 × 349, so it is divisible by 2.
What are the factors of 27222?
1, 2, 3, 6, 13, 26, 39, 78, 349, 698, 1047, 2094, 4537, 9074, 13611, 27222.
What is 27222 in binary?
110101001010110 (hexadecimal 6A56, octal 65126).
What is the square root of 27222?
About 164.9909.
Is 27222 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 27222?
It is a composite number with 16 divisors.