The number 5784
5784 is a composite number with 16 divisors. Its prime factorisation is × 3 × 241. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 241, 482, 723, 964, 1446, 1928, 2892, 5784.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5784: a Harshad number: divisible by its digit sum 24.
- 2
5784 is composite. Its prime factorisation is
- 3
The divisors add up to 14520; without 5784 itself that is 8736, so 5784 is abundant (8736 is more than 5784). Euler's totient φ(5784) = 1920 numbers up to 5784 share no factor with it.
- 4
The digits of 5784 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5784 = 2^{3} \times 3 \times 241 \]5784 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14520 |
| Euler totient φ(n) | 1920 |
| Square | 33454656 |
| Cube | 193501730304 |
| Square root | 76.052613 (= 2√1446) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 5.784 × |
5784 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and eighty-four |
| Binary (base 2) | 1011010011000 |
| Octal (base 8) | 13230 |
| Hexadecimal (base 16) | 1698 |
| Base 3 | 21221020 |
| As time | 5784 seconds = 1 h 36 min 24 s |
Is 5784 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5784 ÷ 2 = 2892) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5784 ÷ 3 = 1928) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5784 ÷ 4 = 1446) | 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 | Yes (5784 ÷ 6 = 964) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (5784 ÷ 8 = 723) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5784 ÷ 12 = 482) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5784 a prime number?
No. 5784 = × 3 × 241, so it is divisible by 2.
What are the factors of 5784?
1, 2, 3, 4, 6, 8, 12, 24, 241, 482, 723, 964, 1446, 1928, 2892, 5784.
What is 5784 in binary?
1011010011000 (hexadecimal 1698, octal 13230).
What is the square root of 5784?
About 76.0526, exactly 2√1446.
Is 5784 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 5784?
5784 is a Harshad number: divisible by its digit sum 24.