The number 12736
12736 is a composite number with 14 divisors. Its prime factorisation is × 199. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 199, 398, 796, 1592, 3184, 6368, 12736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12736 is composite. Its prime factorisation is
- 3
The divisors add up to 25400; without 12736 itself that is 12664, so 12736 is deficient (12664 is less than 12736). Euler's totient φ(12736) = 6336 numbers up to 12736 share no factor with it.
- 4
The digits of 12736 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12736 = 2^{6} \times 199 \]12736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 25400 |
| Euler totient φ(n) | 6336 |
| Square | 162205696 |
| Cube | 2065851744256 |
| Square root | 112.853888 (= 8√199) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 125 |
| Scientific notation | 1.2736 × |
12736 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and thirty-six |
| Binary (base 2) | 11000111000000 |
| Octal (base 8) | 30700 |
| Hexadecimal (base 16) | 31C0 |
| Base 3 | 122110201 |
| As time | 12736 seconds = 3 h 32 min 16 s |
Is 12736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12736 ÷ 2 = 6368) | 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 (12736 ÷ 4 = 3184) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (12736 ÷ 8 = 1592) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 12736 a prime number?
No. 12736 = × 199, so it is divisible by 2.
What are the factors of 12736?
1, 2, 4, 8, 16, 32, 64, 199, 398, 796, 1592, 3184, 6368, 12736.
What is 12736 in binary?
11000111000000 (hexadecimal 31C0, octal 30700).
What is the square root of 12736?
About 112.8539, exactly 8√199.
Is 12736 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 12736?
It is a composite number with 14 divisors.