The number 8028
8028 is a composite number with 18 divisors. Its prime factorisation is × × 223. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676 … 8028.
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How to work it out
- 1
What is special about 8028: a Harshad number: divisible by its digit sum 18.
- 2
8028 is composite. Its prime factorisation is
- 3
The divisors add up to 20384; without 8028 itself that is 12356, so 8028 is abundant (12356 is more than 8028). Euler's totient φ(8028) = 2664 numbers up to 8028 share no factor with it.
- 4
The digits of 8028 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8028 = 2^{2} \times 3^{2} \times 223 \]8028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 20384 |
| Euler totient φ(n) | 2664 |
| Square | 64448784 |
| Cube | 517394837952 |
| Square root | 89.599107 (= 6√223) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 8.028 × |
8028 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and twenty-eight |
| Binary (base 2) | 1111101011100 |
| Octal (base 8) | 17534 |
| Hexadecimal (base 16) | 1F5C |
| Base 3 | 102000100 |
| As time | 8028 seconds = 2 h 13 min 48 s |
Is 8028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8028 ÷ 2 = 4014) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8028 ÷ 3 = 2676) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8028 ÷ 4 = 2007) | 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 (8028 ÷ 6 = 1338) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (8028 ÷ 9 = 892) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8028 ÷ 12 = 669) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8028 a prime number?
No. 8028 = × × 223, so it is divisible by 2.
What are the factors of 8028?
1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028.
What is 8028 in binary?
1111101011100 (hexadecimal 1F5C, octal 17534).
What is the square root of 8028?
About 89.5991, exactly 6√223.
Is 8028 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8028?
8028 is a Harshad number: divisible by its digit sum 18.