The number 43142
43142 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 37 × 53. Divisors (16): 1, 2, 11, 22, 37, 53, 74, 106, 407, 583, 814, 1166, 1961, 3922, 21571, 43142.
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How to work it out
- 1
43142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43142 is composite. Its prime factorisation is
- 3
The divisors add up to 73872; without 43142 itself that is 30730, so 43142 is deficient (30730 is less than 43142). Euler's totient φ(43142) = 18720 numbers up to 43142 share no factor with it.
- 4
The digits of 43142 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43142 = 2 \times 11 \times 37 \times 53 \]
43142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73872 |
| Euler totient φ(n) | 18720 |
| Square | 1861232164 |
| Cube | 80297278019288 |
| Square root | 207.706524 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.3142 × |
43142 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and forty-two |
| Binary (base 2) | 1010100010000110 |
| Octal (base 8) | 124206 |
| Hexadecimal (base 16) | A886 |
| Base 3 | 2012011212 |
| As time | 43142 seconds = 11 h 59 min 2 s |
Is 43142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43142 ÷ 2 = 21571) | 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 | 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 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (43142 ÷ 11 = 3922) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43142 a prime number?
No. 43142 = 2 × 11 × 37 × 53, so it is divisible by 2.
What are the factors of 43142?
1, 2, 11, 22, 37, 53, 74, 106, 407, 583, 814, 1166, 1961, 3922, 21571, 43142.
What is 43142 in binary?
1010100010000110 (hexadecimal A886, octal 124206).
What is the square root of 43142?
About 207.7065.
Is 43142 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 43142?
It is a composite number with 16 divisors.