The number 47784
47784 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 181. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 181 … 47784.
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How to work it out
- 1
47784 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47784 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 47784 itself that is 83256, so 47784 is abundant (83256 is more than 47784). Euler's totient φ(47784) = 14400 numbers up to 47784 share no factor with it.
- 4
The digits of 47784 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47784 = 2^{3} \times 3 \times 11 \times 181 \]47784 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 14400 |
| Square | 2283310656 |
| Cube | 109105716386304 |
| Square root | 218.595517 (= 2√11946) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.7784 × |
47784 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and eighty-four |
| Binary (base 2) | 1011101010101000 |
| Octal (base 8) | 135250 |
| Hexadecimal (base 16) | BAA8 |
| Base 3 | 2102112210 |
| As time | 47784 seconds = 13 h 16 min 24 s |
Is 47784 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47784 ÷ 2 = 23892) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47784 ÷ 3 = 15928) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47784 ÷ 4 = 11946) | 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 (47784 ÷ 6 = 7964) | 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 (47784 ÷ 8 = 5973) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47784 ÷ 11 = 4344) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47784 ÷ 12 = 3982) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47784 a prime number?
No. 47784 = × 3 × 11 × 181, so it is divisible by 2.
What are the factors of 47784?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 181, 264, 362, 543, 724, 1086, 1448, 1991, 2172, 3982, 4344, 5973, 7964, 11946, 15928, 23892, 47784.
What is 47784 in binary?
1011101010101000 (hexadecimal BAA8, octal 135250).
What is the square root of 47784?
About 218.5955, exactly 2√11946.
Is 47784 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 47784?
It is a composite number with 32 divisors.