The number 47823
47823 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 839. Divisors (8): 1, 3, 19, 57, 839, 2517, 15941, 47823.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47823 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47823 is composite. Its prime factorisation is
- 3
The divisors add up to 67200; without 47823 itself that is 19377, so 47823 is deficient (19377 is less than 47823). Euler's totient φ(47823) = 30168 numbers up to 47823 share no factor with it.
- 4
The digits of 47823 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47823 = 3 \times 19 \times 839 \]
47823 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67200 |
| Euler totient φ(n) | 30168 |
| Square | 2287039329 |
| Cube | 109373081830767 |
| Square root | 218.684705 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7823 × |
47823 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and twenty-three |
| Binary (base 2) | 1011101011001111 |
| Octal (base 8) | 135317 |
| Hexadecimal (base 16) | BACF |
| Base 3 | 2102121020 |
| As time | 47823 seconds = 13 h 17 min 3 s |
Is 47823 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47823 ÷ 3 = 15941) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 | No (remainder 7) | 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 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47823 a prime number?
No. 47823 = 3 × 19 × 839, so it is divisible by 3.
What are the factors of 47823?
1, 3, 19, 57, 839, 2517, 15941, 47823.
What is 47823 in binary?
1011101011001111 (hexadecimal BACF, octal 135317).
What is the square root of 47823?
About 218.6847.
Is 47823 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47823?
It is a composite number with 8 divisors.