The number 8788
8788 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8788 is composite. Its prime factorisation is
- 3
The divisors add up to 16660; without 8788 itself that is 7872, so 8788 is deficient (7872 is less than 8788). Euler's totient φ(8788) = 4056 numbers up to 8788 share no factor with it.
- 4
The digits of 8788 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8788 = 2^{2} \times 13^{3} \]8788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16660 |
| Euler totient φ(n) | 4056 |
| Square | 77228944 |
| Cube | 678687959872 |
| Square root | 93.744333 (= 26√13) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 96 |
| Scientific notation | 8.788 × |
8788 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and eighty-eight |
| Binary (base 2) | 10001001010100 |
| Octal (base 8) | 21124 |
| Hexadecimal (base 16) | 2254 |
| Base 3 | 110001111 |
| As time | 8788 seconds = 2 h 26 min 28 s |
Is 8788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8788 ÷ 2 = 4394) | 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 (8788 ÷ 4 = 2197) | 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 3) | 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 4) | 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 10) | 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 8788 a prime number?
No. 8788 = × , so it is divisible by 2.
What are the factors of 8788?
1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788.
What is 8788 in binary?
10001001010100 (hexadecimal 2254, octal 21124).
What is the square root of 8788?
About 93.7443, exactly 26√13.
Is 8788 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 8788?
It is a composite number with 12 divisors.