The number 88028
88028 is a composite number with 12 divisors. Its prime factorisation is × 59 × 373. Divisors (12): 1, 2, 4, 59, 118, 236, 373, 746, 1492, 22007, 44014, 88028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88028 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88028 is composite. Its prime factorisation is
- 3
The divisors add up to 157080; without 88028 itself that is 69052, so 88028 is deficient (69052 is less than 88028). Euler's totient φ(88028) = 43152 numbers up to 88028 share no factor with it.
- 4
The digits of 88028 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88028 = 2^{2} \times 59 \times 373 \]88028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 157080 |
| Euler totient φ(n) | 43152 |
| Square | 7748928784 |
| Cube | 682122702997952 |
| Square root | 296.695130 (= 2√22007) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 76 |
| Scientific notation | 8.8028 × |
88028 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and twenty-eight |
| Binary (base 2) | 10101011111011100 |
| Octal (base 8) | 253734 |
| Hexadecimal (base 16) | 157DC |
| Base 3 | 11110202022 |
| As time | 88028 seconds = 24 h 27 min 8 s |
Is 88028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88028 ÷ 2 = 44014) | 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 (88028 ÷ 4 = 22007) | 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 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | 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 88028 a prime number?
No. 88028 = × 59 × 373, so it is divisible by 2.
What are the factors of 88028?
1, 2, 4, 59, 118, 236, 373, 746, 1492, 22007, 44014, 88028.
What is 88028 in binary?
10101011111011100 (hexadecimal 157DC, octal 253734).
What is the square root of 88028?
About 296.6951, exactly 2√22007.
Is 88028 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 88028?
It is a composite number with 12 divisors.