The number 47084
47084 is a composite number with 12 divisors. Its prime factorisation is × 79 × 149. Divisors (12): 1, 2, 4, 79, 149, 158, 298, 316, 596, 11771, 23542, 47084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47084 is composite. Its prime factorisation is
- 3
The divisors add up to 84000; without 47084 itself that is 36916, so 47084 is deficient (36916 is less than 47084). Euler's totient φ(47084) = 23088 numbers up to 47084 share no factor with it.
- 4
The digits of 47084 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47084 = 2^{2} \times 79 \times 149 \]47084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 84000 |
| Euler totient φ(n) | 23088 |
| Square | 2216903056 |
| Cube | 104380663488704 |
| Square root | 216.988479 (= 2√11771) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7084 × |
47084 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and eighty-four |
| Binary (base 2) | 1011011111101100 |
| Octal (base 8) | 133754 |
| Hexadecimal (base 16) | B7EC |
| Base 3 | 2101120212 |
| As time | 47084 seconds = 13 h 4 min 44 s |
Is 47084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47084 ÷ 2 = 23542) | 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 (47084 ÷ 4 = 11771) | 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 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 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 47084 a prime number?
No. 47084 = × 79 × 149, so it is divisible by 2.
What are the factors of 47084?
1, 2, 4, 79, 149, 158, 298, 316, 596, 11771, 23542, 47084.
What is 47084 in binary?
1011011111101100 (hexadecimal B7EC, octal 133754).
What is the square root of 47084?
About 216.9885, exactly 2√11771.
Is 47084 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47084?
It is a composite number with 12 divisors.