The number 47164
47164 is a composite number with 12 divisors. Its prime factorisation is × 13 × 907. Divisors (12): 1, 2, 4, 13, 26, 52, 907, 1814, 3628, 11791, 23582, 47164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47164 is composite. Its prime factorisation is
- 3
The divisors add up to 88984; without 47164 itself that is 41820, so 47164 is deficient (41820 is less than 47164). Euler's totient φ(47164) = 21744 numbers up to 47164 share no factor with it.
- 4
The digits of 47164 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47164 = 2^{2} \times 13 \times 907 \]47164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 88984 |
| Euler totient φ(n) | 21744 |
| Square | 2224442896 |
| Cube | 104913624746944 |
| Square root | 217.172742 (= 2√11791) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7164 × |
47164 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and sixty-four |
| Binary (base 2) | 1011100000111100 |
| Octal (base 8) | 134074 |
| Hexadecimal (base 16) | B83C |
| Base 3 | 2101200211 |
| As time | 47164 seconds = 13 h 6 min 4 s |
Is 47164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47164 ÷ 2 = 23582) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47164 ÷ 4 = 11791) | 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 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47164 a prime number?
No. 47164 = × 13 × 907, so it is divisible by 2.
What are the factors of 47164?
1, 2, 4, 13, 26, 52, 907, 1814, 3628, 11791, 23582, 47164.
What is 47164 in binary?
1011100000111100 (hexadecimal B83C, octal 134074).
What is the square root of 47164?
About 217.1727, exactly 2√11791.
Is 47164 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47164?
It is a composite number with 12 divisors.