The number 28112
28112 is a composite number with 20 divisors. Its prime factorisation is × 7 × 251. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 251, 502, 1004, 1757, 2008, 3514 … 28112.
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How to work it out
- 1
What is special about 28112: a Harshad number: divisible by its digit sum 14.
- 2
28112 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 28112 itself that is 34384, so 28112 is abundant (34384 is more than 28112). Euler's totient φ(28112) = 12000 numbers up to 28112 share no factor with it.
- 4
The digits of 28112 add up to 14, 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
\[ 28112 = 2^{4} \times 7 \times 251 \]28112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 12000 |
| Square | 790284544 |
| Cube | 22216479100928 |
| Square root | 167.666335 (= 4√1757) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.8112 × |
28112 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand one hundred and twelve |
| Binary (base 2) | 110110111010000 |
| Octal (base 8) | 66720 |
| Hexadecimal (base 16) | 6DD0 |
| Base 3 | 1102120012 |
| As time | 28112 seconds = 7 h 48 min 32 s |
Is 28112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28112 ÷ 2 = 14056) | 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 (28112 ÷ 4 = 7028) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (28112 ÷ 7 = 4016) | 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 (28112 ÷ 8 = 3514) | 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 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28112 a prime number?
No. 28112 = × 7 × 251, so it is divisible by 2.
What are the factors of 28112?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 251, 502, 1004, 1757, 2008, 3514, 4016, 7028, 14056, 28112.
What is 28112 in binary?
110110111010000 (hexadecimal 6DD0, octal 66720).
What is the square root of 28112?
About 167.6663, exactly 4√1757.
Is 28112 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 28112?
28112 is a Harshad number: divisible by its digit sum 14.