The number 5727
5727 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 83. Divisors (8): 1, 3, 23, 69, 83, 249, 1909, 5727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5727 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5727 is composite. Its prime factorisation is
- 3
The divisors add up to 8064; without 5727 itself that is 2337, so 5727 is deficient (2337 is less than 5727). Euler's totient φ(5727) = 3608 numbers up to 5727 share no factor with it.
- 4
The digits of 5727 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5727 = 3 \times 23 \times 83 \]
5727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8064 |
| Euler totient φ(n) | 3608 |
| Square | 32798529 |
| Cube | 187837175583 |
| Square root | 75.676945 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 5.727 × |
5727 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and twenty-seven |
| Binary (base 2) | 1011001011111 |
| Octal (base 8) | 13137 |
| Hexadecimal (base 16) | 165F |
| Base 3 | 21212010 |
| As time | 5727 seconds = 1 h 35 min 27 s |
Is 5727 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5727 ÷ 3 = 1909) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5727 a prime number?
No. 5727 = 3 × 23 × 83, so it is divisible by 3.
What are the factors of 5727?
1, 3, 23, 69, 83, 249, 1909, 5727.
What is 5727 in binary?
1011001011111 (hexadecimal 165F, octal 13137).
What is the square root of 5727?
About 75.6769.
Is 5727 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5727?
It is a composite number with 8 divisors.