The number 47296
47296 is a composite number with 14 divisors. Its prime factorisation is × 739. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 739, 1478, 2956, 5912, 11824, 23648, 47296.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47296 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47296 is composite. Its prime factorisation is
- 3
The divisors add up to 93980; without 47296 itself that is 46684, so 47296 is deficient (46684 is less than 47296). Euler's totient φ(47296) = 23616 numbers up to 47296 share no factor with it.
- 4
The digits of 47296 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47296 = 2^{6} \times 739 \]47296 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 93980 |
| Euler totient φ(n) | 23616 |
| Square | 2236911616 |
| Cube | 105796971790336 |
| Square root | 217.476436 (= 8√739) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.7296 × |
47296 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and ninety-six |
| Binary (base 2) | 1011100011000000 |
| Octal (base 8) | 134300 |
| Hexadecimal (base 16) | B8C0 |
| Base 3 | 2101212201 |
| As time | 47296 seconds = 13 h 8 min 16 s |
Is 47296 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47296 ÷ 2 = 23648) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47296 ÷ 4 = 11824) | 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 4) | 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 | Yes (47296 ÷ 8 = 5912) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47296 a prime number?
No. 47296 = × 739, so it is divisible by 2.
What are the factors of 47296?
1, 2, 4, 8, 16, 32, 64, 739, 1478, 2956, 5912, 11824, 23648, 47296.
What is 47296 in binary?
1011100011000000 (hexadecimal B8C0, octal 134300).
What is the square root of 47296?
About 217.4764, exactly 8√739.
Is 47296 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 47296?
It is a composite number with 14 divisors.