The number 47216
47216 is a composite number with 20 divisors. Its prime factorisation is × 13 × 227. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 227, 454, 908, 1816, 2951, 3632 … 47216.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47216 is composite. Its prime factorisation is
- 3
The divisors add up to 98952; without 47216 itself that is 51736, so 47216 is abundant (51736 is more than 47216). Euler's totient φ(47216) = 21696 numbers up to 47216 share no factor with it.
- 4
The digits of 47216 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47216 = 2^{4} \times 13 \times 227 \]47216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 98952 |
| Euler totient φ(n) | 21696 |
| Square | 2229350656 |
| Cube | 105261020573696 |
| Square root | 217.292430 (= 4√2951) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7216 × |
47216 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and sixteen |
| Binary (base 2) | 1011100001110000 |
| Octal (base 8) | 134160 |
| Hexadecimal (base 16) | B870 |
| Base 3 | 2101202202 |
| As time | 47216 seconds = 13 h 6 min 56 s |
Is 47216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47216 ÷ 2 = 23608) | 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 (47216 ÷ 4 = 11804) | 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 1) | 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 (47216 ÷ 8 = 5902) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 47216 a prime number?
No. 47216 = × 13 × 227, so it is divisible by 2.
What are the factors of 47216?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 227, 454, 908, 1816, 2951, 3632, 5902, 11804, 23608, 47216.
What is 47216 in binary?
1011100001110000 (hexadecimal B870, octal 134160).
What is the square root of 47216?
About 217.2924, exactly 4√2951.
Is 47216 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47216?
It is a composite number with 20 divisors.