The number 47646
47646 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2647. Divisors (12): 1, 2, 3, 6, 9, 18, 2647, 5294, 7941, 15882, 23823, 47646.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47646 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47646 is composite. Its prime factorisation is
- 3
The divisors add up to 103272; without 47646 itself that is 55626, so 47646 is abundant (55626 is more than 47646). Euler's totient φ(47646) = 15876 numbers up to 47646 share no factor with it.
- 4
The digits of 47646 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
\[ 47646 = 2 \times 3^{2} \times 2647 \]47646 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 103272 |
| Euler totient φ(n) | 15876 |
| Square | 2270141316 |
| Cube | 108163153142136 |
| Square root | 218.279637 (= 3√5294) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7646 × |
47646 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and forty-six |
| Binary (base 2) | 1011101000011110 |
| Octal (base 8) | 135036 |
| Hexadecimal (base 16) | BA1E |
| Base 3 | 2102100200 |
| As time | 47646 seconds = 13 h 14 min 6 s |
Is 47646 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47646 ÷ 2 = 23823) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47646 ÷ 3 = 15882) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47646 ÷ 6 = 7941) | 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 | Yes (47646 ÷ 9 = 5294) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 47646 a prime number?
No. 47646 = 2 × × 2647, so it is divisible by 2.
What are the factors of 47646?
1, 2, 3, 6, 9, 18, 2647, 5294, 7941, 15882, 23823, 47646.
What is 47646 in binary?
1011101000011110 (hexadecimal BA1E, octal 135036).
What is the square root of 47646?
About 218.2796, exactly 3√5294.
Is 47646 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47646?
It is a composite number with 12 divisors.