The number 8768
8768 is a composite number with 14 divisors. Its prime factorisation is × 137. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8768 is composite. Its prime factorisation is
- 3
The divisors add up to 17526; without 8768 itself that is 8758, so 8768 is deficient (8758 is less than 8768). Euler's totient φ(8768) = 4352 numbers up to 8768 share no factor with it.
- 4
The digits of 8768 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8768 = 2^{6} \times 137 \]8768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 17526 |
| Euler totient φ(n) | 4352 |
| Square | 76877824 |
| Cube | 674064760832 |
| Square root | 93.637599 (= 8√137) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 96 |
| Scientific notation | 8.768 × |
8768 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and sixty-eight |
| Binary (base 2) | 10001001000000 |
| Octal (base 8) | 21100 |
| Hexadecimal (base 16) | 2240 |
| Base 3 | 110000202 |
| As time | 8768 seconds = 2 h 26 min 8 s |
Is 8768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8768 ÷ 2 = 4384) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8768 ÷ 4 = 2192) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (8768 ÷ 8 = 1096) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8768 a prime number?
No. 8768 = × 137, so it is divisible by 2.
What are the factors of 8768?
1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768.
What is 8768 in binary?
10001001000000 (hexadecimal 2240, octal 21100).
What is the square root of 8768?
About 93.6376, exactly 8√137.
Is 8768 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 8768?
It is a composite number with 14 divisors.