The number 47076
47076 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3923. Divisors (12): 1, 2, 3, 4, 6, 12, 3923, 7846, 11769, 15692, 23538, 47076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47076 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47076 is composite. Its prime factorisation is
- 3
The divisors add up to 109872; without 47076 itself that is 62796, so 47076 is abundant (62796 is more than 47076). Euler's totient φ(47076) = 15688 numbers up to 47076 share no factor with it.
- 4
The digits of 47076 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47076 = 2^{2} \times 3 \times 3923 \]47076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109872 |
| Euler totient φ(n) | 15688 |
| Square | 2216149776 |
| Cube | 104327466854976 |
| Square root | 216.970044 (= 2√11769) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7076 × |
47076 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and seventy-six |
| Binary (base 2) | 1011011111100100 |
| Octal (base 8) | 133744 |
| Hexadecimal (base 16) | B7E4 |
| Base 3 | 2101120120 |
| As time | 47076 seconds = 13 h 4 min 36 s |
Is 47076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47076 ÷ 2 = 23538) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47076 ÷ 3 = 15692) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47076 ÷ 4 = 11769) | 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 | Yes (47076 ÷ 6 = 7846) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (47076 ÷ 12 = 3923) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47076 a prime number?
No. 47076 = × 3 × 3923, so it is divisible by 2.
What are the factors of 47076?
1, 2, 3, 4, 6, 12, 3923, 7846, 11769, 15692, 23538, 47076.
What is 47076 in binary?
1011011111100100 (hexadecimal B7E4, octal 133744).
What is the square root of 47076?
About 216.9700, exactly 2√11769.
Is 47076 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47076?
It is a composite number with 12 divisors.