The number 47264
47264 is a composite number with 24 divisors. Its prime factorisation is × 7 × 211. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 211, 224, 422, 844, 1477 … 47264.
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How to work it out
- 1
47264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47264 is composite. Its prime factorisation is
- 3
The divisors add up to 106848; without 47264 itself that is 59584, so 47264 is abundant (59584 is more than 47264). Euler's totient φ(47264) = 20160 numbers up to 47264 share no factor with it.
- 4
The digits of 47264 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 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47264 = 2^{5} \times 7 \times 211 \]47264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 106848 |
| Euler totient φ(n) | 20160 |
| Square | 2233885696 |
| Cube | 105582373535744 |
| Square root | 217.402852 (= 4√2954) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.7264 × |
47264 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and sixty-four |
| Binary (base 2) | 1011100010100000 |
| Octal (base 8) | 134240 |
| Hexadecimal (base 16) | B8A0 |
| Base 3 | 2101211112 |
| As time | 47264 seconds = 13 h 7 min 44 s |
Is 47264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47264 ÷ 2 = 23632) | 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 (47264 ÷ 4 = 11816) | 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 | Yes (47264 ÷ 7 = 6752) | 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 (47264 ÷ 8 = 5908) | 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 8) | 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 47264 a prime number?
No. 47264 = × 7 × 211, so it is divisible by 2.
What are the factors of 47264?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 211, 224, 422, 844, 1477, 1688, 2954, 3376, 5908, 6752, 11816, 23632, 47264.
What is 47264 in binary?
1011100010100000 (hexadecimal B8A0, octal 134240).
What is the square root of 47264?
About 217.4029, exactly 4√2954.
Is 47264 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47264?
It is a composite number with 24 divisors.