The number 88075
88075 is a composite number with 12 divisors. Its prime factorisation is × 13 × 271. Divisors (12): 1, 5, 13, 25, 65, 271, 325, 1355, 3523, 6775, 17615, 88075.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
88075 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
88075 is composite. Its prime factorisation is
- 3
The divisors add up to 118048; without 88075 itself that is 29973, so 88075 is deficient (29973 is less than 88075). Euler's totient φ(88075) = 64800 numbers up to 88075 share no factor with it.
- 4
The digits of 88075 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 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 88075 = 5^{2} \times 13 \times 271 \]88075 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 118048 |
| Euler totient φ(n) | 64800 |
| Square | 7757205625 |
| Cube | 683215885421875 |
| Square root | 296.774325 (= 5√3523) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.8075 × |
88075 in other forms
| Form | Value |
|---|---|
| In words | eighty-eight thousand and seventy-five |
| Binary (base 2) | 10101100000001011 |
| Octal (base 8) | 254013 |
| Hexadecimal (base 16) | 1580B |
| Base 3 | 11110211001 |
| As time | 88075 seconds = 24 h 27 min 55 s |
Is 88075 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (88075 ÷ 5 = 17615) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 88075 a prime number?
No. 88075 = × 13 × 271, so it is divisible by 5.
What are the factors of 88075?
1, 5, 13, 25, 65, 271, 325, 1355, 3523, 6775, 17615, 88075.
What is 88075 in binary?
10101100000001011 (hexadecimal 1580B, octal 254013).
What is the square root of 88075?
About 296.7743, exactly 5√3523.
Is 88075 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 88075?
It is a composite number with 12 divisors.