The number 10736
10736 is a composite number with 20 divisors. Its prime factorisation is × 11 × 61. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 61, 88, 122, 176, 244, 488, 671, 976 … 10736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10736 is composite. Its prime factorisation is
- 3
The divisors add up to 23064; without 10736 itself that is 12328, so 10736 is abundant (12328 is more than 10736). Euler's totient φ(10736) = 4800 numbers up to 10736 share no factor with it.
- 4
The digits of 10736 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10736 = 2^{4} \times 11 \times 61 \]10736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 23064 |
| Euler totient φ(n) | 4800 |
| Square | 115261696 |
| Cube | 1237449568256 |
| Square root | 103.614671 (= 4√671) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.0736 × |
10736 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and thirty-six |
| Binary (base 2) | 10100111110000 |
| Octal (base 8) | 24760 |
| Hexadecimal (base 16) | 29F0 |
| Base 3 | 112201122 |
| As time | 10736 seconds = 2 h 58 min 56 s |
Is 10736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10736 ÷ 2 = 5368) | 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 (10736 ÷ 4 = 2684) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (10736 ÷ 8 = 1342) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (10736 ÷ 11 = 976) | 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 10736 a prime number?
No. 10736 = × 11 × 61, so it is divisible by 2.
What are the factors of 10736?
1, 2, 4, 8, 11, 16, 22, 44, 61, 88, 122, 176, 244, 488, 671, 976, 1342, 2684, 5368, 10736.
What is 10736 in binary?
10100111110000 (hexadecimal 29F0, octal 24760).
What is the square root of 10736?
About 103.6147, exactly 4√671.
Is 10736 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 10736?
It is a composite number with 20 divisors.