The number 47884
47884 is a composite number with 6 divisors. Its prime factorisation is × 11971. Divisors (6): 1, 2, 4, 11971, 23942, 47884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47884 is composite. Its prime factorisation is
- 3
The divisors add up to 83804; without 47884 itself that is 35920, so 47884 is deficient (35920 is less than 47884). Euler's totient φ(47884) = 23940 numbers up to 47884 share no factor with it.
- 4
The digits of 47884 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47884 = 2^{2} \times 11971 \]47884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 83804 |
| Euler totient φ(n) | 23940 |
| Square | 2292877456 |
| Cube | 109792144103104 |
| Square root | 218.824130 (= 2√11971) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.7884 × |
47884 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and eighty-four |
| Binary (base 2) | 1011101100001100 |
| Octal (base 8) | 135414 |
| Hexadecimal (base 16) | BB0C |
| Base 3 | 2102200111 |
| As time | 47884 seconds = 13 h 18 min 4 s |
Is 47884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47884 ÷ 2 = 23942) | 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 (47884 ÷ 4 = 11971) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 | No (remainder 1) | 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 47884 a prime number?
No. 47884 = × 11971, so it is divisible by 2.
What are the factors of 47884?
1, 2, 4, 11971, 23942, 47884.
What is 47884 in binary?
1011101100001100 (hexadecimal BB0C, octal 135414).
What is the square root of 47884?
About 218.8241, exactly 2√11971.
Is 47884 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 47884?
It is a composite number with 6 divisors.