The number 47838
47838 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 17 × 67. Divisors (32): 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 67, 102, 119, 134, 201 … 47838.
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How to work it out
- 1
47838 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47838 is composite. Its prime factorisation is
- 3
The divisors add up to 117504; without 47838 itself that is 69666, so 47838 is abundant (69666 is more than 47838). Euler's totient φ(47838) = 12672 numbers up to 47838 share no factor with it.
- 4
The digits of 47838 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47838 = 2 \times 3 \times 7 \times 17 \times 67 \]
47838 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 117504 |
| Euler totient φ(n) | 12672 |
| Square | 2288474244 |
| Cube | 109476030884472 |
| Square root | 218.718998 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.7838 × |
47838 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and thirty-eight |
| Binary (base 2) | 1011101011011110 |
| Octal (base 8) | 135336 |
| Hexadecimal (base 16) | BADE |
| Base 3 | 2102121210 |
| As time | 47838 seconds = 13 h 17 min 18 s |
Is 47838 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47838 ÷ 2 = 23919) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47838 ÷ 3 = 15946) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47838 ÷ 6 = 7973) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47838 ÷ 7 = 6834) | 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 3) | 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 10) | 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 47838 a prime number?
No. 47838 = 2 × 3 × 7 × 17 × 67, so it is divisible by 2.
What are the factors of 47838?
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 67, 102, 119, 134, 201, 238, 357, 402, 469, 714, 938, 1139, 1407, 2278, 2814, 3417, 6834, 7973, 15946, 23919, 47838.
What is 47838 in binary?
1011101011011110 (hexadecimal BADE, octal 135336).
What is the square root of 47838?
About 218.7190.
Is 47838 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 47838?
It is a composite number with 32 divisors.