The number 47873
47873 is a composite number with 6 divisors. Its prime factorisation is Ć 977. Divisors (6): 1, 7, 49, 977, 6839, 47873.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47873 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47873 is composite. Its prime factorisation is
- 3
The divisors add up to 55746; without 47873 itself that is 7873, so 47873 is deficient (7873 is less than 47873). Euler's totient Ļ(47873) = 40992 numbers up to 47873 share no factor with it.
- 4
The digits of 47873 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47873 = 7^{2} \times 977 \]47873 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 55746 |
| Euler totient Ļ(n) | 40992 |
| Square | 2291824129 |
| Cube | 109716496527617 |
| Square root | 218.798995 (= 7ā977) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.7873 Ć |
47873 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and seventy-three |
| Binary (base 2) | 1011101100000001 |
| Octal (base 8) | 135401 |
| Hexadecimal (base 16) | BB01 |
| Base 3 | 2102200002 |
| As time | 47873 seconds = 13 h 17 min 53 s |
Is 47873 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47873 Ć· 7 = 6839) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47873 a prime number?
No. 47873 = Ć 977, so it is divisible by 7.
What are the factors of 47873?
1, 7, 49, 977, 6839, 47873.
What is 47873 in binary?
1011101100000001 (hexadecimal BB01, octal 135401).
What is the square root of 47873?
About 218.7990, exactly 7ā977.
Is 47873 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 47873?
It is a composite number with 6 divisors.