The number 28427
28427 is a composite number with 8 divisors. Its prime factorisation is 7 × 31 × 131. Divisors (8): 1, 7, 31, 131, 217, 917, 4061, 28427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28427 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28427 is composite. Its prime factorisation is
- 3
The divisors add up to 33792; without 28427 itself that is 5365, so 28427 is deficient (5365 is less than 28427). Euler's totient φ(28427) = 23400 numbers up to 28427 share no factor with it.
- 4
The digits of 28427 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
\[ 28427 = 7 \times 31 \times 131 \]
28427 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 33792 |
| Euler totient φ(n) | 23400 |
| Square | 808094329 |
| Cube | 22971697490483 |
| Square root | 168.603084 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.8427 × |
28427 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand four hundred and twenty-seven |
| Binary (base 2) | 110111100001011 |
| Octal (base 8) | 67413 |
| Hexadecimal (base 16) | 6F0B |
| Base 3 | 1102222212 |
| As time | 28427 seconds = 7 h 53 min 47 s |
Is 28427 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | 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 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (28427 ÷ 7 = 4061) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28427 a prime number?
No. 28427 = 7 × 31 × 131, so it is divisible by 7.
What are the factors of 28427?
1, 7, 31, 131, 217, 917, 4061, 28427.
What is 28427 in binary?
110111100001011 (hexadecimal 6F0B, octal 67413).
What is the square root of 28427?
About 168.6031.
Is 28427 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 28427?
It is a composite number with 8 divisors.