The number 5736
5736 is a composite number with 16 divisors. Its prime factorisation is × 3 × 239. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5736 is composite. Its prime factorisation is
- 3
The divisors add up to 14400; without 5736 itself that is 8664, so 5736 is abundant (8664 is more than 5736). Euler's totient φ(5736) = 1904 numbers up to 5736 share no factor with it.
- 4
The digits of 5736 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5736 = 2^{3} \times 3 \times 239 \]5736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14400 |
| Euler totient φ(n) | 1904 |
| Square | 32901696 |
| Cube | 188724128256 |
| Square root | 75.736385 (= 2√1434) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 5.736 × |
5736 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and thirty-six |
| Binary (base 2) | 1011001101000 |
| Octal (base 8) | 13150 |
| Hexadecimal (base 16) | 1668 |
| Base 3 | 21212110 |
| As time | 5736 seconds = 1 h 35 min 36 s |
Is 5736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5736 ÷ 2 = 2868) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5736 ÷ 3 = 1912) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5736 ÷ 4 = 1434) | 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 | Yes (5736 ÷ 6 = 956) | 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 (5736 ÷ 8 = 717) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5736 ÷ 12 = 478) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5736 a prime number?
No. 5736 = × 3 × 239, so it is divisible by 2.
What are the factors of 5736?
1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736.
What is 5736 in binary?
1011001101000 (hexadecimal 1668, octal 13150).
What is the square root of 5736?
About 75.7364, exactly 2√1434.
Is 5736 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5736?
It is a composite number with 16 divisors.