The number 28024
28024 is a composite number with 16 divisors. Its prime factorisation is × 31 × 113. Divisors (16): 1, 2, 4, 8, 31, 62, 113, 124, 226, 248, 452, 904, 3503, 7006, 14012, 28024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28024 is composite. Its prime factorisation is
- 3
The divisors add up to 54720; without 28024 itself that is 26696, so 28024 is deficient (26696 is less than 28024). Euler's totient φ(28024) = 13440 numbers up to 28024 share no factor with it.
- 4
The digits of 28024 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28024 = 2^{3} \times 31 \times 113 \]28024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 54720 |
| Euler totient φ(n) | 13440 |
| Square | 785344576 |
| Cube | 22008496397824 |
| Square root | 167.403704 (= 2√7006) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.8024 × |
28024 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand and twenty-four |
| Binary (base 2) | 110110101111000 |
| Octal (base 8) | 66570 |
| Hexadecimal (base 16) | 6D78 |
| Base 3 | 1102102221 |
| As time | 28024 seconds = 7 h 47 min 4 s |
Is 28024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28024 ÷ 2 = 14012) | 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 (28024 ÷ 4 = 7006) | 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 3) | 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 (28024 ÷ 8 = 3503) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | 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 28024 a prime number?
No. 28024 = × 31 × 113, so it is divisible by 2.
What are the factors of 28024?
1, 2, 4, 8, 31, 62, 113, 124, 226, 248, 452, 904, 3503, 7006, 14012, 28024.
What is 28024 in binary?
110110101111000 (hexadecimal 6D78, octal 66570).
What is the square root of 28024?
About 167.4037, exactly 2√7006.
Is 28024 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 28024?
It is a composite number with 16 divisors.