The number 47816
47816 is a composite number with 16 divisors. Its prime factorisation is × 43 × 139. Divisors (16): 1, 2, 4, 8, 43, 86, 139, 172, 278, 344, 556, 1112, 5977, 11954, 23908, 47816.
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How to work it out
- 1
47816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47816 is composite. Its prime factorisation is
- 3
The divisors add up to 92400; without 47816 itself that is 44584, so 47816 is deficient (44584 is less than 47816). Euler's totient φ(47816) = 23184 numbers up to 47816 share no factor with it.
- 4
The digits of 47816 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47816 = 2^{3} \times 43 \times 139 \]47816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 92400 |
| Euler totient φ(n) | 23184 |
| Square | 2286369856 |
| Cube | 109325061034496 |
| Square root | 218.668699 (= 2√11954) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7816 × |
47816 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and sixteen |
| Binary (base 2) | 1011101011001000 |
| Octal (base 8) | 135310 |
| Hexadecimal (base 16) | BAC8 |
| Base 3 | 2102120222 |
| As time | 47816 seconds = 13 h 16 min 56 s |
Is 47816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47816 ÷ 2 = 23908) | 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 (47816 ÷ 4 = 11954) | 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 2) | 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 | Yes (47816 ÷ 8 = 5977) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | 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 47816 a prime number?
No. 47816 = × 43 × 139, so it is divisible by 2.
What are the factors of 47816?
1, 2, 4, 8, 43, 86, 139, 172, 278, 344, 556, 1112, 5977, 11954, 23908, 47816.
What is 47816 in binary?
1011101011001000 (hexadecimal BAC8, octal 135310).
What is the square root of 47816?
About 218.6687, exactly 2√11954.
Is 47816 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 47816?
It is a composite number with 16 divisors.