The number 27224
27224 is a composite number with 16 divisors. Its prime factorisation is × 41 × 83. Divisors (16): 1, 2, 4, 8, 41, 82, 83, 164, 166, 328, 332, 664, 3403, 6806, 13612, 27224.
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How to work it out
- 1
27224 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27224 is composite. Its prime factorisation is
- 3
The divisors add up to 52920; without 27224 itself that is 25696, so 27224 is deficient (25696 is less than 27224). Euler's totient φ(27224) = 13120 numbers up to 27224 share no factor with it.
- 4
The digits of 27224 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27224 = 2^{3} \times 41 \times 83 \]27224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 52920 |
| Euler totient φ(n) | 13120 |
| Square | 741146176 |
| Cube | 20176963495424 |
| Square root | 164.996970 (= 2√6806) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.7224 × |
27224 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and twenty-four |
| Binary (base 2) | 110101001011000 |
| Octal (base 8) | 65130 |
| Hexadecimal (base 16) | 6A58 |
| Base 3 | 1101100022 |
| As time | 27224 seconds = 7 h 33 min 44 s |
Is 27224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27224 ÷ 2 = 13612) | 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 | Yes (27224 ÷ 4 = 6806) | 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 2) | 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 | Yes (27224 ÷ 8 = 3403) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27224 a prime number?
No. 27224 = × 41 × 83, so it is divisible by 2.
What are the factors of 27224?
1, 2, 4, 8, 41, 82, 83, 164, 166, 328, 332, 664, 3403, 6806, 13612, 27224.
What is 27224 in binary?
110101001011000 (hexadecimal 6A58, octal 65130).
What is the square root of 27224?
About 164.9970, exactly 2√6806.
Is 27224 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27224?
It is a composite number with 16 divisors.