The number 14784
14784 is a composite number with 56 divisors. Its prime factorisation is × 3 × 7 × 11. Divisors (56): 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32 … 14784.
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How to work it out
- 1
What is special about 14784: a Harshad number: divisible by its digit sum 24.
- 2
14784 is composite. Its prime factorisation is
- 3
The divisors add up to 48768; without 14784 itself that is 33984, so 14784 is abundant (33984 is more than 14784). Euler's totient φ(14784) = 3840 numbers up to 14784 share no factor with it.
- 4
The digits of 14784 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14784 = 2^{6} \times 3 \times 7 \times 11 \]14784 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 48768 |
| Euler totient φ(n) | 3840 |
| Square | 218566656 |
| Cube | 3231289442304 |
| Square root | 121.589473 (= 8√231) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.4784 × |
14784 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand seven hundred and eighty-four |
| Binary (base 2) | 11100111000000 |
| Octal (base 8) | 34700 |
| Hexadecimal (base 16) | 39C0 |
| Base 3 | 202021120 |
| As time | 14784 seconds = 4 h 6 min 24 s |
Is 14784 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14784 ÷ 2 = 7392) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (14784 ÷ 3 = 4928) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (14784 ÷ 4 = 3696) | 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 (14784 ÷ 6 = 2464) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (14784 ÷ 7 = 2112) | 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 (14784 ÷ 8 = 1848) | 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 | Yes (14784 ÷ 11 = 1344) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (14784 ÷ 12 = 1232) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 14784 a prime number?
No. 14784 = × 3 × 7 × 11, so it is divisible by 2.
What are the factors of 14784?
1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 64, 66, 77, 84, 88, 96, 112, 132, 154, 168, 176, 192, 224, 231, 264, 308, 336, 352, 448, 462, 528, 616, 672, 704, 924, 1056, 1232, 1344, 1848, 2112, 2464, 3696, 4928, 7392, 14784.
What is 14784 in binary?
11100111000000 (hexadecimal 39C0, octal 34700).
What is the square root of 14784?
About 121.5895, exactly 8√231.
Is 14784 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 14784?
14784 is a Harshad number: divisible by its digit sum 24.