The number 47776
47776 is a composite number with 12 divisors. Its prime factorisation is × 1493. Divisors (12): 1, 2, 4, 8, 16, 32, 1493, 2986, 5972, 11944, 23888, 47776.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47776 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47776 is composite. Its prime factorisation is
- 3
The divisors add up to 94122; without 47776 itself that is 46346, so 47776 is deficient (46346 is less than 47776). Euler's totient φ(47776) = 23872 numbers up to 47776 share no factor with it.
- 4
The digits of 47776 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47776 = 2^{5} \times 1493 \]47776 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 94122 |
| Euler totient φ(n) | 23872 |
| Square | 2282546176 |
| Cube | 109050926104576 |
| Square root | 218.577217 (= 4√2986) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.7776 × |
47776 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and seventy-six |
| Binary (base 2) | 1011101010100000 |
| Octal (base 8) | 135240 |
| Hexadecimal (base 16) | BAA0 |
| Base 3 | 2102112111 |
| As time | 47776 seconds = 13 h 16 min 16 s |
Is 47776 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47776 ÷ 2 = 23888) | 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 (47776 ÷ 4 = 11944) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | 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 (47776 ÷ 8 = 5972) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 47776 a prime number?
No. 47776 = × 1493, so it is divisible by 2.
What are the factors of 47776?
1, 2, 4, 8, 16, 32, 1493, 2986, 5972, 11944, 23888, 47776.
What is 47776 in binary?
1011101010100000 (hexadecimal BAA0, octal 135240).
What is the square root of 47776?
About 218.5772, exactly 4√2986.
Is 47776 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 47776?
It is a composite number with 12 divisors.