The number 47064
47064 is a composite number with 32 divisors. Its prime factorisation is × 3 × 37 × 53. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 37, 53, 74, 106, 111, 148, 159, 212 … 47064.
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How to work it out
- 1
47064 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47064 is composite. Its prime factorisation is
- 3
The divisors add up to 123120; without 47064 itself that is 76056, so 47064 is abundant (76056 is more than 47064). Euler's totient φ(47064) = 14976 numbers up to 47064 share no factor with it.
- 4
The digits of 47064 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47064 = 2^{3} \times 3 \times 37 \times 53 \]47064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 123120 |
| Euler totient φ(n) | 14976 |
| Square | 2215020096 |
| Cube | 104247705798144 |
| Square root | 216.942389 (= 2√11766) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7064 × |
47064 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and sixty-four |
| Binary (base 2) | 1011011111011000 |
| Octal (base 8) | 133730 |
| Hexadecimal (base 16) | B7D8 |
| Base 3 | 2101120010 |
| As time | 47064 seconds = 13 h 4 min 24 s |
Is 47064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47064 ÷ 2 = 23532) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47064 ÷ 3 = 15688) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47064 ÷ 4 = 11766) | 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 | Yes (47064 ÷ 6 = 7844) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (47064 ÷ 8 = 5883) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47064 ÷ 12 = 3922) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47064 a prime number?
No. 47064 = × 3 × 37 × 53, so it is divisible by 2.
What are the factors of 47064?
1, 2, 3, 4, 6, 8, 12, 24, 37, 53, 74, 106, 111, 148, 159, 212, 222, 296, 318, 424, 444, 636, 888, 1272, 1961, 3922, 5883, 7844, 11766, 15688, 23532, 47064.
What is 47064 in binary?
1011011111011000 (hexadecimal B7D8, octal 133730).
What is the square root of 47064?
About 216.9424, exactly 2√11766.
Is 47064 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47064?
It is a composite number with 32 divisors.