The number 47814
47814 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 613. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 613, 1226, 1839, 3678, 7969, 15938, 23907, 47814.
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How to work it out
- 1
47814 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47814 is composite. Its prime factorisation is
- 3
The divisors add up to 103152; without 47814 itself that is 55338, so 47814 is abundant (55338 is more than 47814). Euler's totient φ(47814) = 14688 numbers up to 47814 share no factor with it.
- 4
The digits of 47814 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47814 = 2 \times 3 \times 13 \times 613 \]
47814 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 103152 |
| Euler totient φ(n) | 14688 |
| Square | 2286178596 |
| Cube | 109311343389144 |
| Square root | 218.664126 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7814 × |
47814 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and fourteen |
| Binary (base 2) | 1011101011000110 |
| Octal (base 8) | 135306 |
| Hexadecimal (base 16) | BAC6 |
| Base 3 | 2102120220 |
| As time | 47814 seconds = 13 h 16 min 54 s |
Is 47814 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47814 ÷ 2 = 23907) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47814 ÷ 3 = 15938) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (47814 ÷ 6 = 7969) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47814 a prime number?
No. 47814 = 2 × 3 × 13 × 613, so it is divisible by 2.
What are the factors of 47814?
1, 2, 3, 6, 13, 26, 39, 78, 613, 1226, 1839, 3678, 7969, 15938, 23907, 47814.
What is 47814 in binary?
1011101011000110 (hexadecimal BAC6, octal 135306).
What is the square root of 47814?
About 218.6641.
Is 47814 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47814?
It is a composite number with 16 divisors.