The number 27724
27724 is a composite number with 12 divisors. Its prime factorisation is × 29 × 239. Divisors (12): 1, 2, 4, 29, 58, 116, 239, 478, 956, 6931, 13862, 27724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27724 is composite. Its prime factorisation is
- 3
The divisors add up to 50400; without 27724 itself that is 22676, so 27724 is deficient (22676 is less than 27724). Euler's totient φ(27724) = 13328 numbers up to 27724 share no factor with it.
- 4
The digits of 27724 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27724 = 2^{2} \times 29 \times 239 \]27724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 50400 |
| Euler totient φ(n) | 13328 |
| Square | 768620176 |
| Cube | 21309225759424 |
| Square root | 166.505255 (= 2√6931) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7724 × |
27724 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and twenty-four |
| Binary (base 2) | 110110001001100 |
| Octal (base 8) | 66114 |
| Hexadecimal (base 16) | 6C4C |
| Base 3 | 1102000211 |
| As time | 27724 seconds = 7 h 42 min 4 s |
Is 27724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27724 ÷ 2 = 13862) | 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 (27724 ÷ 4 = 6931) | 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 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 27724 a prime number?
No. 27724 = × 29 × 239, so it is divisible by 2.
What are the factors of 27724?
1, 2, 4, 29, 58, 116, 239, 478, 956, 6931, 13862, 27724.
What is 27724 in binary?
110110001001100 (hexadecimal 6C4C, octal 66114).
What is the square root of 27724?
About 166.5053, exactly 2√6931.
Is 27724 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27724?
It is a composite number with 12 divisors.