The number 47142
47142 is a composite number with 24 divisors. Its prime factorisation is 2 × × 97. Divisors (24): 1, 2, 3, 6, 9, 18, 27, 54, 81, 97, 162, 194, 243, 291, 486, 582 … 47142.
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How to work it out
- 1
What is special about 47142: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
47142 is composite. Its prime factorisation is
- 3
The divisors add up to 107016; without 47142 itself that is 59874, so 47142 is abundant (59874 is more than 47142). Euler's totient φ(47142) = 15552 numbers up to 47142 share no factor with it.
- 4
The digits of 47142 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47142 = 2 \times 3^{5} \times 97 \]47142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 107016 |
| Euler totient φ(n) | 15552 |
| Square | 2222368164 |
| Cube | 104766879987288 |
| Square root | 217.122085 (= 9√582) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7142 × |
47142 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and forty-two |
| Binary (base 2) | 1011100000100110 |
| Octal (base 8) | 134046 |
| Hexadecimal (base 16) | B826 |
| Base 3 | 2101200000 |
| As time | 47142 seconds = 13 h 5 min 42 s |
Is 47142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47142 ÷ 2 = 23571) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47142 ÷ 3 = 15714) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47142 ÷ 6 = 7857) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47142 ÷ 9 = 5238) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47142 a prime number?
No. 47142 = 2 × × 97, so it is divisible by 2.
What are the factors of 47142?
1, 2, 3, 6, 9, 18, 27, 54, 81, 97, 162, 194, 243, 291, 486, 582, 873, 1746, 2619, 5238, 7857, 15714, 23571, 47142.
What is 47142 in binary?
1011100000100110 (hexadecimal B826, octal 134046).
What is the square root of 47142?
About 217.1221, exactly 9√582.
Is 47142 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47142?
47142 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.