The number 75088
75088 is a composite number with 30 divisors. Its prime factorisation is × 13 × . Divisors (30): 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304 … 75088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
75088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75088 is composite. Its prime factorisation is
- 3
The divisors add up to 165354; without 75088 itself that is 90266, so 75088 is abundant (90266 is more than 75088). Euler's totient φ(75088) = 32832 numbers up to 75088 share no factor with it.
- 4
The digits of 75088 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75088 = 2^{4} \times 13 \times 19^{2} \]75088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 165354 |
| Euler totient φ(n) | 32832 |
| Square | 5638207744 |
| Cube | 423361743081472 |
| Square root | 274.021897 (= 76√13) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.5088 × |
75088 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand and eighty-eight |
| Binary (base 2) | 10010010101010000 |
| Octal (base 8) | 222520 |
| Hexadecimal (base 16) | 12550 |
| Base 3 | 10211000001 |
| As time | 75088 seconds = 20 h 51 min 28 s |
Is 75088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75088 ÷ 2 = 37544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (75088 ÷ 4 = 18772) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (75088 ÷ 8 = 9386) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75088 a prime number?
No. 75088 = × 13 × , so it is divisible by 2.
What are the factors of 75088?
1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 361, 494, 722, 988, 1444, 1976, 2888, 3952, 4693, 5776, 9386, 18772, 37544, 75088.
What is 75088 in binary?
10010010101010000 (hexadecimal 12550, octal 222520).
What is the square root of 75088?
About 274.0219, exactly 76√13.
Is 75088 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 75088?
It is a composite number with 30 divisors.