The number 12964
12964 is a composite number with 12 divisors. Its prime factorisation is × 7 × 463. Divisors (12): 1, 2, 4, 7, 14, 28, 463, 926, 1852, 3241, 6482, 12964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12964 is composite. Its prime factorisation is
- 3
The divisors add up to 25984; without 12964 itself that is 13020, so 12964 is abundant (13020 is more than 12964). Euler's totient φ(12964) = 5544 numbers up to 12964 share no factor with it.
- 4
The digits of 12964 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12964 = 2^{2} \times 7 \times 463 \]12964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25984 |
| Euler totient φ(n) | 5544 |
| Square | 168065296 |
| Cube | 2178798497344 |
| Square root | 113.859563 (= 2√3241) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.2964 × |
12964 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand nine hundred and sixty-four |
| Binary (base 2) | 11001010100100 |
| Octal (base 8) | 31244 |
| Hexadecimal (base 16) | 32A4 |
| Base 3 | 122210011 |
| As time | 12964 seconds = 3 h 36 min 4 s |
Is 12964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12964 ÷ 2 = 6482) | 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 (12964 ÷ 4 = 3241) | 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 (12964 ÷ 7 = 1852) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 12964 a prime number?
No. 12964 = × 7 × 463, so it is divisible by 2.
What are the factors of 12964?
1, 2, 4, 7, 14, 28, 463, 926, 1852, 3241, 6482, 12964.
What is 12964 in binary?
11001010100100 (hexadecimal 32A4, octal 31244).
What is the square root of 12964?
About 113.8596, exactly 2√3241.
Is 12964 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 12964?
It is a composite number with 12 divisors.