The number 47768
47768 is a composite number with 16 divisors. Its prime factorisation is × 7 × 853. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 853, 1706, 3412, 5971, 6824, 11942, 23884, 47768.
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How to work it out
- 1
47768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47768 is composite. Its prime factorisation is
- 3
The divisors add up to 102480; without 47768 itself that is 54712, so 47768 is abundant (54712 is more than 47768). Euler's totient φ(47768) = 20448 numbers up to 47768 share no factor with it.
- 4
The digits of 47768 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47768 = 2^{3} \times 7 \times 853 \]47768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 102480 |
| Euler totient φ(n) | 20448 |
| Square | 2281781824 |
| Cube | 108996154168832 |
| Square root | 218.558917 (= 2√11942) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7768 × |
47768 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and sixty-eight |
| Binary (base 2) | 1011101010011000 |
| Octal (base 8) | 135230 |
| Hexadecimal (base 16) | BA98 |
| Base 3 | 2102112012 |
| As time | 47768 seconds = 13 h 16 min 8 s |
Is 47768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47768 ÷ 2 = 23884) | 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 (47768 ÷ 4 = 11942) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47768 ÷ 7 = 6824) | 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 (47768 ÷ 8 = 5971) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 47768 a prime number?
No. 47768 = × 7 × 853, so it is divisible by 2.
What are the factors of 47768?
1, 2, 4, 7, 8, 14, 28, 56, 853, 1706, 3412, 5971, 6824, 11942, 23884, 47768.
What is 47768 in binary?
1011101010011000 (hexadecimal BA98, octal 135230).
What is the square root of 47768?
About 218.5589, exactly 2√11942.
Is 47768 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 47768?
It is a composite number with 16 divisors.