The number 47024
47024 is a composite number with 10 divisors. Its prime factorisation is × 2939. Divisors (10): 1, 2, 4, 8, 16, 2939, 5878, 11756, 23512, 47024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47024 is composite. Its prime factorisation is
- 3
The divisors add up to 91140; without 47024 itself that is 44116, so 47024 is deficient (44116 is less than 47024). Euler's totient φ(47024) = 23504 numbers up to 47024 share no factor with it.
- 4
The digits of 47024 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47024 = 2^{4} \times 2939 \]47024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 91140 |
| Euler totient φ(n) | 23504 |
| Square | 2211256576 |
| Cube | 103982129229824 |
| Square root | 216.850179 (= 4√2939) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7024 × |
47024 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and twenty-four |
| Binary (base 2) | 1011011110110000 |
| Octal (base 8) | 133660 |
| Hexadecimal (base 16) | B7B0 |
| Base 3 | 2101111122 |
| As time | 47024 seconds = 13 h 3 min 44 s |
Is 47024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47024 ÷ 2 = 23512) | 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 (47024 ÷ 4 = 11756) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (47024 ÷ 8 = 5878) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 47024 a prime number?
No. 47024 = × 2939, so it is divisible by 2.
What are the factors of 47024?
1, 2, 4, 8, 16, 2939, 5878, 11756, 23512, 47024.
What is 47024 in binary?
1011011110110000 (hexadecimal B7B0, octal 133660).
What is the square root of 47024?
About 216.8502, exactly 4√2939.
Is 47024 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 47024?
It is a composite number with 10 divisors.