The number 65088
65088 is a composite number with 42 divisors. Its prime factorisation is × × 113. Divisors (42): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72 … 65088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
65088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
65088 is composite. Its prime factorisation is
- 3
The divisors add up to 188214; without 65088 itself that is 123126, so 65088 is abundant (123126 is more than 65088). Euler's totient φ(65088) = 21504 numbers up to 65088 share no factor with it.
- 4
The digits of 65088 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65088 = 2^{6} \times 3^{2} \times 113 \]65088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 188214 |
| Euler totient φ(n) | 21504 |
| Square | 4236447744 |
| Cube | 275741910761472 |
| Square root | 255.123500 (= 24√113) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.5088 × |
65088 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand and eighty-eight |
| Binary (base 2) | 1111111001000000 |
| Octal (base 8) | 177100 |
| Hexadecimal (base 16) | FE40 |
| Base 3 | 10022021200 |
| As time | 65088 seconds = 18 h 4 min 48 s |
Is 65088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (65088 ÷ 2 = 32544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (65088 ÷ 3 = 21696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (65088 ÷ 4 = 16272) | 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 (65088 ÷ 6 = 10848) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (65088 ÷ 8 = 8136) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (65088 ÷ 9 = 7232) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (65088 ÷ 12 = 5424) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 65088 a prime number?
No. 65088 = × × 113, so it is divisible by 2.
What are the factors of 65088?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 113, 144, 192, 226, 288, 339, 452, 576, 678, 904, 1017, 1356, 1808, 2034, 2712, 3616, 4068, 5424, 7232, 8136, 10848, 16272, 21696, 32544, 65088.
What is 65088 in binary?
1111111001000000 (hexadecimal FE40, octal 177100).
What is the square root of 65088?
About 255.1235, exactly 24√113.
Is 65088 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 65088?
It is a composite number with 42 divisors.