The number 47564
47564 is a composite number with 24 divisors. Its prime factorisation is × 11 × 23 × 47. Divisors (24): 1, 2, 4, 11, 22, 23, 44, 46, 47, 92, 94, 188, 253, 506, 517, 1012 … 47564.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47564 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47564 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 47564 itself that is 49204, so 47564 is abundant (49204 is more than 47564). Euler's totient φ(47564) = 20240 numbers up to 47564 share no factor with it.
- 4
The digits of 47564 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47564 = 2^{2} \times 11 \times 23 \times 47 \]47564 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 20240 |
| Square | 2262334096 |
| Cube | 107605658942144 |
| Square root | 218.091724 (= 2√11891) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7564 × |
47564 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and sixty-four |
| Binary (base 2) | 1011100111001100 |
| Octal (base 8) | 134714 |
| Hexadecimal (base 16) | B9CC |
| Base 3 | 2102020122 |
| As time | 47564 seconds = 13 h 12 min 44 s |
Is 47564 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47564 ÷ 2 = 23782) | 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 (47564 ÷ 4 = 11891) | 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 6) | 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 8) | 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 | Yes (47564 ÷ 11 = 4324) | 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 47564 a prime number?
No. 47564 = × 11 × 23 × 47, so it is divisible by 2.
What are the factors of 47564?
1, 2, 4, 11, 22, 23, 44, 46, 47, 92, 94, 188, 253, 506, 517, 1012, 1034, 1081, 2068, 2162, 4324, 11891, 23782, 47564.
What is 47564 in binary?
1011100111001100 (hexadecimal B9CC, octal 134714).
What is the square root of 47564?
About 218.0917, exactly 2√11891.
Is 47564 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 47564?
It is a composite number with 24 divisors.