The number 12764
12764 is a composite number with 6 divisors. Its prime factorisation is × 3191. Divisors (6): 1, 2, 4, 3191, 6382, 12764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12764 is composite. Its prime factorisation is
- 3
The divisors add up to 22344; without 12764 itself that is 9580, so 12764 is deficient (9580 is less than 12764). Euler's totient φ(12764) = 6380 numbers up to 12764 share no factor with it.
- 4
The digits of 12764 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12764 = 2^{2} \times 3191 \]12764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 22344 |
| Euler totient φ(n) | 6380 |
| Square | 162919696 |
| Cube | 2079506999744 |
| Square root | 112.977874 (= 2√3191) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.2764 × |
12764 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and sixty-four |
| Binary (base 2) | 11000111011100 |
| Octal (base 8) | 30734 |
| Hexadecimal (base 16) | 31DC |
| Base 3 | 122111202 |
| As time | 12764 seconds = 3 h 32 min 44 s |
Is 12764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12764 ÷ 2 = 6382) | 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 (12764 ÷ 4 = 3191) | 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 2) | 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 2) | 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 4) | 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 12764 a prime number?
No. 12764 = × 3191, so it is divisible by 2.
What are the factors of 12764?
1, 2, 4, 3191, 6382, 12764.
What is 12764 in binary?
11000111011100 (hexadecimal 31DC, octal 30734).
What is the square root of 12764?
About 112.9779, exactly 2√3191.
Is 12764 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 12764?
It is a composite number with 6 divisors.