The number 4784
4784 is a composite number with 20 divisors. Its prime factorisation is × 13 × 23. Divisors (20): 1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 184, 208, 299, 368 … 4784.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4784: a Harshad number: divisible by its digit sum 23.
- 2
4784 is composite. Its prime factorisation is
- 3
The divisors add up to 10416; without 4784 itself that is 5632, so 4784 is abundant (5632 is more than 4784). Euler's totient φ(4784) = 2112 numbers up to 4784 share no factor with it.
- 4
The digits of 4784 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4784 = 2^{4} \times 13 \times 23 \]4784 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 10416 |
| Euler totient φ(n) | 2112 |
| Square | 22886656 |
| Cube | 109489762304 |
| Square root | 69.166466 (= 4√299) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 121 |
| Scientific notation | 4.784 × |
4784 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and eighty-four |
| Binary (base 2) | 1001010110000 |
| Octal (base 8) | 11260 |
| Hexadecimal (base 16) | 12B0 |
| Base 3 | 20120012 |
| As time | 4784 seconds = 1 h 19 min 44 s |
Is 4784 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4784 ÷ 2 = 2392) | 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 (4784 ÷ 4 = 1196) | 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 2) | 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 (4784 ÷ 8 = 598) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 10) | 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 4784 a prime number?
No. 4784 = × 13 × 23, so it is divisible by 2.
What are the factors of 4784?
1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 184, 208, 299, 368, 598, 1196, 2392, 4784.
What is 4784 in binary?
1001010110000 (hexadecimal 12B0, octal 11260).
What is the square root of 4784?
About 69.1665, exactly 4√299.
Is 4784 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 4784?
4784 is a Harshad number: divisible by its digit sum 23.