The number 8764
8764 is a composite number with 12 divisors. Its prime factorisation is × 7 × 313. Divisors (12): 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8764 is composite. Its prime factorisation is
- 3
The divisors add up to 17584; without 8764 itself that is 8820, so 8764 is abundant (8820 is more than 8764). Euler's totient φ(8764) = 3744 numbers up to 8764 share no factor with it.
- 4
The digits of 8764 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8764 = 2^{2} \times 7 \times 313 \]8764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17584 |
| Euler totient φ(n) | 3744 |
| Square | 76807696 |
| Cube | 673142647744 |
| Square root | 93.616238 (= 2√2191) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 78 |
| Scientific notation | 8.764 × |
8764 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and sixty-four |
| Binary (base 2) | 10001000111100 |
| Octal (base 8) | 21074 |
| Hexadecimal (base 16) | 223C |
| Base 3 | 110000121 |
| As time | 8764 seconds = 2 h 26 min 4 s |
Is 8764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8764 ÷ 2 = 4382) | 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 (8764 ÷ 4 = 2191) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (8764 ÷ 7 = 1252) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 8764 a prime number?
No. 8764 = × 7 × 313, so it is divisible by 2.
What are the factors of 8764?
1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764.
What is 8764 in binary?
10001000111100 (hexadecimal 223C, octal 21074).
What is the square root of 8764?
About 93.6162, exactly 2√2191.
Is 8764 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 8764?
It is a composite number with 12 divisors.