The number 5764
5764 is a composite number with 12 divisors. Its prime factorisation is × 11 × 131. Divisors (12): 1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5764: a Harshad number: divisible by its digit sum 22.
- 2
5764 is composite. Its prime factorisation is
- 3
The divisors add up to 11088; without 5764 itself that is 5324, so 5764 is deficient (5324 is less than 5764). Euler's totient φ(5764) = 2600 numbers up to 5764 share no factor with it.
- 4
The digits of 5764 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 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5764 = 2^{2} \times 11 \times 131 \]5764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11088 |
| Euler totient φ(n) | 2600 |
| Square | 33223696 |
| Cube | 191501383744 |
| Square root | 75.921012 (= 2√1441) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 142 |
| Scientific notation | 5.764 × |
5764 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and sixty-four |
| Binary (base 2) | 1011010000100 |
| Octal (base 8) | 13204 |
| Hexadecimal (base 16) | 1684 |
| Base 3 | 21220111 |
| As time | 5764 seconds = 1 h 36 min 4 s |
Is 5764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5764 ÷ 2 = 2882) | 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 (5764 ÷ 4 = 1441) | 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 | 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 | 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 | Yes (5764 ÷ 11 = 524) | 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 5764 a prime number?
No. 5764 = × 11 × 131, so it is divisible by 2.
What are the factors of 5764?
1, 2, 4, 11, 22, 44, 131, 262, 524, 1441, 2882, 5764.
What is 5764 in binary?
1011010000100 (hexadecimal 1684, octal 13204).
What is the square root of 5764?
About 75.9210, exactly 2√1441.
Is 5764 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 5764?
5764 is a Harshad number: divisible by its digit sum 22.