The number 80028
80028 is a composite number with 60 divisors. Its prime factorisation is × × 13 × 19. Divisors (60): 1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 27, 36, 38, 39, 52 … 80028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80028: a Harshad number: divisible by its digit sum 18.
- 2
80028 is composite. Its prime factorisation is
- 3
The divisors add up to 237160; without 80028 itself that is 157132, so 80028 is abundant (157132 is more than 80028). Euler's totient φ(80028) = 23328 numbers up to 80028 share no factor with it.
- 4
The digits of 80028 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80028 = 2^{2} \times 3^{4} \times 13 \times 19 \]80028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 237160 |
| Euler totient φ(n) | 23328 |
| Square | 6404480784 |
| Cube | 512537788181952 |
| Square root | 282.892206 (= 18√247) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0028 × |
80028 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and twenty-eight |
| Binary (base 2) | 10011100010011100 |
| Octal (base 8) | 234234 |
| Hexadecimal (base 16) | 1389C |
| Base 3 | 11001210000 |
| As time | 80028 seconds = 22 h 13 min 48 s |
Is 80028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80028 ÷ 2 = 40014) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80028 ÷ 3 = 26676) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80028 ÷ 4 = 20007) | 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 (80028 ÷ 6 = 13338) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (80028 ÷ 9 = 8892) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80028 ÷ 12 = 6669) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80028 a prime number?
No. 80028 = × × 13 × 19, so it is divisible by 2.
What are the factors of 80028?
1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 27, 36, 38, 39, 52, 54, 57, 76, 78, 81, 108, 114, 117, 156, 162, 171, 228, 234, 247, 324, 342, 351, 468, 494, 513, 684, 702, 741, 988, 1026, 1053, 1404, 1482, 1539, 2052, 2106, 2223, 2964, 3078, 4212, 4446, 6156, 6669, 8892, 13338, 20007, 26676, 40014, 80028.
What is 80028 in binary?
10011100010011100 (hexadecimal 1389C, octal 234234).
What is the square root of 80028?
About 282.8922, exactly 18√247.
Is 80028 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80028?
80028 is a Harshad number: divisible by its digit sum 18.