The number 47673
47673 is a composite number with 6 divisors. Its prime factorisation is × 5297. Divisors (6): 1, 3, 9, 5297, 15891, 47673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47673 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47673 is composite. Its prime factorisation is
- 3
The divisors add up to 68874; without 47673 itself that is 21201, so 47673 is deficient (21201 is less than 47673). Euler's totient φ(47673) = 31776 numbers up to 47673 share no factor with it.
- 4
The digits of 47673 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47673 = 3^{2} \times 5297 \]47673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 68874 |
| Euler totient φ(n) | 31776 |
| Square | 2272714929 |
| Cube | 108347138810217 |
| Square root | 218.341476 (= 3√5297) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7673 × |
47673 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and seventy-three |
| Binary (base 2) | 1011101000111001 |
| Octal (base 8) | 135071 |
| Hexadecimal (base 16) | BA39 |
| Base 3 | 2102101200 |
| As time | 47673 seconds = 13 h 14 min 33 s |
Is 47673 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 (47673 ÷ 3 = 15891) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (47673 ÷ 9 = 5297) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47673 a prime number?
No. 47673 = × 5297, so it is divisible by 3.
What are the factors of 47673?
1, 3, 9, 5297, 15891, 47673.
What is 47673 in binary?
1011101000111001 (hexadecimal BA39, octal 135071).
What is the square root of 47673?
About 218.3415, exactly 3√5297.
Is 47673 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47673?
It is a composite number with 6 divisors.