The number 4142
4142 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 109. Divisors (8): 1, 2, 19, 38, 109, 218, 2071, 4142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4142 is composite. Its prime factorisation is
- 3
The divisors add up to 6600; without 4142 itself that is 2458, so 4142 is deficient (2458 is less than 4142). Euler's totient φ(4142) = 1944 numbers up to 4142 share no factor with it.
- 4
The digits of 4142 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4142 = 2 \times 19 \times 109 \]
4142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6600 |
| Euler totient φ(n) | 1944 |
| Square | 17156164 |
| Cube | 71060831288 |
| Square root | 64.358372 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.142 × |
4142 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and forty-two |
| Binary (base 2) | 1000000101110 |
| Octal (base 8) | 10056 |
| Hexadecimal (base 16) | 102E |
| Base 3 | 12200102 |
| As time | 4142 seconds = 1 h 9 min 2 s |
Is 4142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4142 ÷ 2 = 2071) | 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 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 4142 a prime number?
No. 4142 = 2 × 19 × 109, so it is divisible by 2.
What are the factors of 4142?
1, 2, 19, 38, 109, 218, 2071, 4142.
What is 4142 in binary?
1000000101110 (hexadecimal 102E, octal 10056).
What is the square root of 4142?
About 64.3584.
Is 4142 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 4142?
It is a composite number with 8 divisors.