The number 47136
47136 is a composite number with 24 divisors. Its prime factorisation is × 3 × 491. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 491, 982, 1473, 1964 … 47136.
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How to work it out
- 1
47136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47136 is composite. Its prime factorisation is
- 3
The divisors add up to 123984; without 47136 itself that is 76848, so 47136 is abundant (76848 is more than 47136). Euler's totient φ(47136) = 15680 numbers up to 47136 share no factor with it.
- 4
The digits of 47136 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47136 = 2^{5} \times 3 \times 491 \]47136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 123984 |
| Euler totient φ(n) | 15680 |
| Square | 2221802496 |
| Cube | 104726882451456 |
| Square root | 217.108268 (= 4√2946) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7136 × |
47136 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and thirty-six |
| Binary (base 2) | 1011100000100000 |
| Octal (base 8) | 134040 |
| Hexadecimal (base 16) | B820 |
| Base 3 | 2101122210 |
| As time | 47136 seconds = 13 h 5 min 36 s |
Is 47136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47136 ÷ 2 = 23568) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47136 ÷ 3 = 15712) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47136 ÷ 4 = 11784) | 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 (47136 ÷ 6 = 7856) | 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 (47136 ÷ 8 = 5892) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47136 ÷ 12 = 3928) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47136 a prime number?
No. 47136 = × 3 × 491, so it is divisible by 2.
What are the factors of 47136?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 491, 982, 1473, 1964, 2946, 3928, 5892, 7856, 11784, 15712, 23568, 47136.
What is 47136 in binary?
1011100000100000 (hexadecimal B820, octal 134040).
What is the square root of 47136?
About 217.1083, exactly 4√2946.
Is 47136 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47136?
It is a composite number with 24 divisors.