The number 47146
47146 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 2143. Divisors (8): 1, 2, 11, 22, 2143, 4286, 23573, 47146.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47146: a Harshad number: divisible by its digit sum 22.
- 2
47146 is composite. Its prime factorisation is
- 3
The divisors add up to 77184; without 47146 itself that is 30038, so 47146 is deficient (30038 is less than 47146). Euler's totient φ(47146) = 21420 numbers up to 47146 share no factor with it.
- 4
The digits of 47146 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47146 = 2 \times 11 \times 2143 \]
47146 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 77184 |
| Euler totient φ(n) | 21420 |
| Square | 2222745316 |
| Cube | 104793550668136 |
| Square root | 217.131297 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7146 × |
47146 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and forty-six |
| Binary (base 2) | 1011100000101010 |
| Octal (base 8) | 134052 |
| Hexadecimal (base 16) | B82A |
| Base 3 | 2101200011 |
| As time | 47146 seconds = 13 h 5 min 46 s |
Is 47146 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47146 ÷ 2 = 23573) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | 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 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47146 ÷ 11 = 4286) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47146 a prime number?
No. 47146 = 2 × 11 × 2143, so it is divisible by 2.
What are the factors of 47146?
1, 2, 11, 22, 2143, 4286, 23573, 47146.
What is 47146 in binary?
1011100000101010 (hexadecimal B82A, octal 134052).
What is the square root of 47146?
About 217.1313.
Is 47146 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47146?
47146 is a Harshad number: divisible by its digit sum 22.