The number 47072
47072 is a composite number with 12 divisors. Its prime factorisation is × 1471. Divisors (12): 1, 2, 4, 8, 16, 32, 1471, 2942, 5884, 11768, 23536, 47072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47072 is composite. Its prime factorisation is
- 3
The divisors add up to 92736; without 47072 itself that is 45664, so 47072 is deficient (45664 is less than 47072). Euler's totient φ(47072) = 23520 numbers up to 47072 share no factor with it.
- 4
The digits of 47072 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47072 = 2^{5} \times 1471 \]47072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 92736 |
| Euler totient φ(n) | 23520 |
| Square | 2215773184 |
| Cube | 104300875317248 |
| Square root | 216.960826 (= 4√2942) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7072 × |
47072 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and seventy-two |
| Binary (base 2) | 1011011111100000 |
| Octal (base 8) | 133740 |
| Hexadecimal (base 16) | B7E0 |
| Base 3 | 2101120102 |
| As time | 47072 seconds = 13 h 4 min 32 s |
Is 47072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47072 ÷ 2 = 23536) | 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 (47072 ÷ 4 = 11768) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 (47072 ÷ 8 = 5884) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 47072 a prime number?
No. 47072 = × 1471, so it is divisible by 2.
What are the factors of 47072?
1, 2, 4, 8, 16, 32, 1471, 2942, 5884, 11768, 23536, 47072.
What is 47072 in binary?
1011011111100000 (hexadecimal B7E0, octal 133740).
What is the square root of 47072?
About 216.9608, exactly 4√2942.
Is 47072 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47072?
It is a composite number with 12 divisors.