The number 47696
47696 is a composite number with 20 divisors. Its prime factorisation is × 11 × 271. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 271, 542, 1084, 2168, 2981, 4336 … 47696.
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How to work it out
- 1
47696 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47696 is composite. Its prime factorisation is
- 3
The divisors add up to 101184; without 47696 itself that is 53488, so 47696 is abundant (53488 is more than 47696). Euler's totient φ(47696) = 21600 numbers up to 47696 share no factor with it.
- 4
The digits of 47696 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47696 = 2^{4} \times 11 \times 271 \]47696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 101184 |
| Euler totient φ(n) | 21600 |
| Square | 2274908416 |
| Cube | 108504031809536 |
| Square root | 218.394139 (= 4√2981) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.7696 × |
47696 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and ninety-six |
| Binary (base 2) | 1011101001010000 |
| Octal (base 8) | 135120 |
| Hexadecimal (base 16) | BA50 |
| Base 3 | 2102102112 |
| As time | 47696 seconds = 13 h 14 min 56 s |
Is 47696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47696 ÷ 2 = 23848) | 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 | Yes (47696 ÷ 4 = 11924) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (47696 ÷ 8 = 5962) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (47696 ÷ 11 = 4336) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47696 a prime number?
No. 47696 = × 11 × 271, so it is divisible by 2.
What are the factors of 47696?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 271, 542, 1084, 2168, 2981, 4336, 5962, 11924, 23848, 47696.
What is 47696 in binary?
1011101001010000 (hexadecimal BA50, octal 135120).
What is the square root of 47696?
About 218.3941, exactly 4√2981.
Is 47696 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 47696?
It is a composite number with 20 divisors.