The number 47864
47864 is a composite number with 16 divisors. Its prime factorisation is × 31 × 193. Divisors (16): 1, 2, 4, 8, 31, 62, 124, 193, 248, 386, 772, 1544, 5983, 11966, 23932, 47864.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47864 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47864 is composite. Its prime factorisation is
- 3
The divisors add up to 93120; without 47864 itself that is 45256, so 47864 is deficient (45256 is less than 47864). Euler's totient φ(47864) = 23040 numbers up to 47864 share no factor with it.
- 4
The digits of 47864 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47864 = 2^{3} \times 31 \times 193 \]47864 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 93120 |
| Euler totient φ(n) | 23040 |
| Square | 2290962496 |
| Cube | 109654628908544 |
| Square root | 218.778427 (= 2√11966) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7864 × |
47864 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and sixty-four |
| Binary (base 2) | 1011101011111000 |
| Octal (base 8) | 135370 |
| Hexadecimal (base 16) | BAF8 |
| Base 3 | 2102122202 |
| As time | 47864 seconds = 13 h 17 min 44 s |
Is 47864 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47864 ÷ 2 = 23932) | 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 (47864 ÷ 4 = 11966) | 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 (47864 ÷ 8 = 5983) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 47864 a prime number?
No. 47864 = × 31 × 193, so it is divisible by 2.
What are the factors of 47864?
1, 2, 4, 8, 31, 62, 124, 193, 248, 386, 772, 1544, 5983, 11966, 23932, 47864.
What is 47864 in binary?
1011101011111000 (hexadecimal BAF8, octal 135370).
What is the square root of 47864?
About 218.7784, exactly 2√11966.
Is 47864 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 47864?
It is a composite number with 16 divisors.