The number 27424
27424 is a composite number with 12 divisors. Its prime factorisation is × 857. Divisors (12): 1, 2, 4, 8, 16, 32, 857, 1714, 3428, 6856, 13712, 27424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27424 is composite. Its prime factorisation is
- 3
The divisors add up to 54054; without 27424 itself that is 26630, so 27424 is deficient (26630 is less than 27424). Euler's totient φ(27424) = 13696 numbers up to 27424 share no factor with it.
- 4
The digits of 27424 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27424 = 2^{5} \times 857 \]27424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54054 |
| Euler totient φ(n) | 13696 |
| Square | 752075776 |
| Cube | 20624926081024 |
| Square root | 165.601932 (= 4√1714) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.7424 × |
27424 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and twenty-four |
| Binary (base 2) | 110101100100000 |
| Octal (base 8) | 65440 |
| Hexadecimal (base 16) | 6B20 |
| Base 3 | 1101121201 |
| As time | 27424 seconds = 7 h 37 min 4 s |
Is 27424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27424 ÷ 2 = 13712) | 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 (27424 ÷ 4 = 6856) | 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 5) | 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 (27424 ÷ 8 = 3428) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | 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 27424 a prime number?
No. 27424 = × 857, so it is divisible by 2.
What are the factors of 27424?
1, 2, 4, 8, 16, 32, 857, 1714, 3428, 6856, 13712, 27424.
What is 27424 in binary?
110101100100000 (hexadecimal 6B20, octal 65440).
What is the square root of 27424?
About 165.6019, exactly 4√1714.
Is 27424 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27424?
It is a composite number with 12 divisors.