The number 28248
28248 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 107. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 107, 132 … 28248.
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How to work it out
- 1
What is special about 28248: a Harshad number: divisible by its digit sum 24.
- 2
28248 is composite. Its prime factorisation is
- 3
The divisors add up to 77760; without 28248 itself that is 49512, so 28248 is abundant (49512 is more than 28248). Euler's totient φ(28248) = 8480 numbers up to 28248 share no factor with it.
- 4
The digits of 28248 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28248 = 2^{3} \times 3 \times 11 \times 107 \]28248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 77760 |
| Euler totient φ(n) | 8480 |
| Square | 797949504 |
| Cube | 22540477588992 |
| Square root | 168.071413 (= 2√7062) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 103 |
| Scientific notation | 2.8248 × |
28248 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand two hundred and forty-eight |
| Binary (base 2) | 110111001011000 |
| Octal (base 8) | 67130 |
| Hexadecimal (base 16) | 6E58 |
| Base 3 | 1102202020 |
| As time | 28248 seconds = 7 h 50 min 48 s |
Is 28248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28248 ÷ 2 = 14124) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (28248 ÷ 3 = 9416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (28248 ÷ 4 = 7062) | 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 | Yes (28248 ÷ 6 = 4708) | 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 (28248 ÷ 8 = 3531) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (28248 ÷ 11 = 2568) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (28248 ÷ 12 = 2354) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28248 a prime number?
No. 28248 = × 3 × 11 × 107, so it is divisible by 2.
What are the factors of 28248?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 107, 132, 214, 264, 321, 428, 642, 856, 1177, 1284, 2354, 2568, 3531, 4708, 7062, 9416, 14124, 28248.
What is 28248 in binary?
110111001011000 (hexadecimal 6E58, octal 67130).
What is the square root of 28248?
About 168.0714, exactly 2√7062.
Is 28248 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 28248?
28248 is a Harshad number: divisible by its digit sum 24.