The number 27428
27428 is a composite number with 6 divisors. Its prime factorisation is × 6857. Divisors (6): 1, 2, 4, 6857, 13714, 27428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27428 is composite. Its prime factorisation is
- 3
The divisors add up to 48006; without 27428 itself that is 20578, so 27428 is deficient (20578 is less than 27428). Euler's totient φ(27428) = 13712 numbers up to 27428 share no factor with it.
- 4
The digits of 27428 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27428 = 2^{2} \times 6857 \]27428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 48006 |
| Euler totient φ(n) | 13712 |
| Square | 752295184 |
| Cube | 20633952306752 |
| Square root | 165.614009 (= 2√6857) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7428 × |
27428 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and twenty-eight |
| Binary (base 2) | 110101100100100 |
| Octal (base 8) | 65444 |
| Hexadecimal (base 16) | 6B24 |
| Base 3 | 1101121212 |
| As time | 27428 seconds = 7 h 37 min 8 s |
Is 27428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27428 ÷ 2 = 13714) | 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 (27428 ÷ 4 = 6857) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 27428 a prime number?
No. 27428 = × 6857, so it is divisible by 2.
What are the factors of 27428?
1, 2, 4, 6857, 13714, 27428.
What is 27428 in binary?
110101100100100 (hexadecimal 6B24, octal 65444).
What is the square root of 27428?
About 165.6140, exactly 2√6857.
Is 27428 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27428?
It is a composite number with 6 divisors.