The number 88088
88088 is a palindrome: it reads 88088 backwards too. Its prime factorisation is × 7 × × 13. Divisors (48): 1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88 … 88088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 88088: a palindrome: it reads 88088 backwards too.
- 2
88088 is composite. Its prime factorisation is
- 3
The divisors add up to 223440; without 88088 itself that is 135352, so 88088 is abundant (135352 is more than 88088). Euler's totient φ(88088) = 31680 numbers up to 88088 share no factor with it.
- 4
The digits of 88088 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88088 = 2^{3} \times 7 \times 11^{2} \times 13 \]88088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 223440 |
| Euler totient φ(n) | 31680 |
| Square | 7759495744 |
| Cube | 683518461097472 |
| Square root | 296.796226 (= 22√182) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.8088 × |
88088 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and eighty-eight |
| Binary (base 2) | 10101100000011000 |
| Octal (base 8) | 254030 |
| Hexadecimal (base 16) | 15818 |
| Base 3 | 11110211112 |
| As time | 88088 seconds = 24 h 28 min 8 s |
Is 88088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (88088 ÷ 2 = 44044) | 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 (88088 ÷ 4 = 22022) | 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 | Yes (88088 ÷ 7 = 12584) | 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 (88088 ÷ 8 = 11011) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (88088 ÷ 11 = 8008) | 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 88088 a prime number?
No. 88088 = × 7 × × 13, so it is divisible by 2.
What are the factors of 88088?
1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 121, 143, 154, 182, 242, 286, 308, 364, 484, 572, 616, 728, 847, 968, 1001, 1144, 1573, 1694, 2002, 3146, 3388, 4004, 6292, 6776, 8008, 11011, 12584, 22022, 44044, 88088.
What is 88088 in binary?
10101100000011000 (hexadecimal 15818, octal 254030).
What is the square root of 88088?
About 296.7962, exactly 22√182.
Is 88088 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 88088?
88088 is a palindrome: it reads 88088 backwards too.