The number 88112
88112 is a composite number with 10 divisors. Its prime factorisation is × 5507. Divisors (10): 1, 2, 4, 8, 16, 5507, 11014, 22028, 44056, 88112.
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How to work it out
- 1
88112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88112 is composite. Its prime factorisation is
- 3
The divisors add up to 170748; without 88112 itself that is 82636, so 88112 is deficient (82636 is less than 88112). Euler's totient φ(88112) = 44048 numbers up to 88112 share no factor with it.
- 4
The digits of 88112 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88112 = 2^{4} \times 5507 \]88112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 170748 |
| Euler totient φ(n) | 44048 |
| Square | 7763724544 |
| Cube | 684077297020928 |
| Square root | 296.836655 (= 4√5507) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.8112 × |
88112 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand one hundred and twelve |
| Binary (base 2) | 10101100000110000 |
| Octal (base 8) | 254060 |
| Hexadecimal (base 16) | 15830 |
| Base 3 | 11110212102 |
| As time | 88112 seconds = 24 h 28 min 32 s |
Is 88112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88112 ÷ 2 = 44056) | 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 (88112 ÷ 4 = 22028) | 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 | 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 (88112 ÷ 8 = 11014) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | 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 88112 a prime number?
No. 88112 = × 5507, so it is divisible by 2.
What are the factors of 88112?
1, 2, 4, 8, 16, 5507, 11014, 22028, 44056, 88112.
What is 88112 in binary?
10101100000110000 (hexadecimal 15830, octal 254060).
What is the square root of 88112?
About 296.8367, exactly 4√5507.
Is 88112 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 88112?
It is a composite number with 10 divisors.