The number 87088
87088 is a composite number with 10 divisors. Its prime factorisation is × 5443. Divisors (10): 1, 2, 4, 8, 16, 5443, 10886, 21772, 43544, 87088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87088 is composite. Its prime factorisation is
- 3
The divisors add up to 168764; without 87088 itself that is 81676, so 87088 is deficient (81676 is less than 87088). Euler's totient φ(87088) = 43536 numbers up to 87088 share no factor with it.
- 4
The digits of 87088 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87088 = 2^{4} \times 5443 \]87088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 168764 |
| Euler totient φ(n) | 43536 |
| Square | 7584319744 |
| Cube | 660503237865472 |
| Square root | 295.106760 (= 4√5443) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7088 × |
87088 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand and eighty-eight |
| Binary (base 2) | 10101010000110000 |
| Octal (base 8) | 252060 |
| Hexadecimal (base 16) | 15430 |
| Base 3 | 11102110111 |
| As time | 87088 seconds = 24 h 11 min 28 s |
Is 87088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87088 ÷ 2 = 43544) | 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 (87088 ÷ 4 = 21772) | 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 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 | Yes (87088 ÷ 8 = 10886) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87088 a prime number?
No. 87088 = × 5443, so it is divisible by 2.
What are the factors of 87088?
1, 2, 4, 8, 16, 5443, 10886, 21772, 43544, 87088.
What is 87088 in binary?
10101010000110000 (hexadecimal 15430, octal 252060).
What is the square root of 87088?
About 295.1068, exactly 4√5443.
Is 87088 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 87088?
It is a composite number with 10 divisors.