The number 47144
47144 is a composite number with 16 divisors. Its prime factorisation is × 71 × 83. Divisors (16): 1, 2, 4, 8, 71, 83, 142, 166, 284, 332, 568, 664, 5893, 11786, 23572, 47144.
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How to work it out
- 1
47144 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47144 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 47144 itself that is 43576, so 47144 is deficient (43576 is less than 47144). Euler's totient φ(47144) = 22960 numbers up to 47144 share no factor with it.
- 4
The digits of 47144 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47144 = 2^{3} \times 71 \times 83 \]47144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 22960 |
| Square | 2222556736 |
| Cube | 104780214761984 |
| Square root | 217.126691 (= 2√11786) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7144 × |
47144 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and forty-four |
| Binary (base 2) | 1011100000101000 |
| Octal (base 8) | 134050 |
| Hexadecimal (base 16) | B828 |
| Base 3 | 2101200002 |
| As time | 47144 seconds = 13 h 5 min 44 s |
Is 47144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47144 ÷ 2 = 23572) | 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 (47144 ÷ 4 = 11786) | 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 | Yes (47144 ÷ 8 = 5893) | 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 9) | 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 47144 a prime number?
No. 47144 = × 71 × 83, so it is divisible by 2.
What are the factors of 47144?
1, 2, 4, 8, 71, 83, 142, 166, 284, 332, 568, 664, 5893, 11786, 23572, 47144.
What is 47144 in binary?
1011100000101000 (hexadecimal B828, octal 134050).
What is the square root of 47144?
About 217.1267, exactly 2√11786.
Is 47144 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47144?
It is a composite number with 16 divisors.