The number 47788
47788 is a composite number with 12 divisors. Its prime factorisation is × 13 × 919. Divisors (12): 1, 2, 4, 13, 26, 52, 919, 1838, 3676, 11947, 23894, 47788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47788 is composite. Its prime factorisation is
- 3
The divisors add up to 90160; without 47788 itself that is 42372, so 47788 is deficient (42372 is less than 47788). Euler's totient φ(47788) = 22032 numbers up to 47788 share no factor with it.
- 4
The digits of 47788 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47788 = 2^{2} \times 13 \times 919 \]47788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 90160 |
| Euler totient φ(n) | 22032 |
| Square | 2283692944 |
| Cube | 109133118407872 |
| Square root | 218.604666 (= 2√11947) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.7788 × |
47788 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and eighty-eight |
| Binary (base 2) | 1011101010101100 |
| Octal (base 8) | 135254 |
| Hexadecimal (base 16) | BAAC |
| Base 3 | 2102112221 |
| As time | 47788 seconds = 13 h 16 min 28 s |
Is 47788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47788 ÷ 2 = 23894) | 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 (47788 ÷ 4 = 11947) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 6) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 47788 a prime number?
No. 47788 = × 13 × 919, so it is divisible by 2.
What are the factors of 47788?
1, 2, 4, 13, 26, 52, 919, 1838, 3676, 11947, 23894, 47788.
What is 47788 in binary?
1011101010101100 (hexadecimal BAAC, octal 135254).
What is the square root of 47788?
About 218.6047, exactly 2√11947.
Is 47788 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 47788?
It is a composite number with 12 divisors.