The number 5142
5142 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 857. Divisors (8): 1, 2, 3, 6, 857, 1714, 2571, 5142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5142 is composite. Its prime factorisation is
- 3
The divisors add up to 10296; without 5142 itself that is 5154, so 5142 is abundant (5154 is more than 5142). Euler's totient φ(5142) = 1712 numbers up to 5142 share no factor with it.
- 4
The digits of 5142 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5142 = 2 \times 3 \times 857 \]
5142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10296 |
| Euler totient φ(n) | 1712 |
| Square | 26440164 |
| Cube | 135955323288 |
| Square root | 71.707740 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.142 × |
5142 in other forms
| Form | Value |
|---|---|
| In words | five thousand one hundred and forty-two |
| Binary (base 2) | 1010000010110 |
| Octal (base 8) | 12026 |
| Hexadecimal (base 16) | 1416 |
| Base 3 | 21001110 |
| As time | 5142 seconds = 1 h 25 min 42 s |
Is 5142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5142 ÷ 2 = 2571) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5142 ÷ 3 = 1714) | 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 (5142 ÷ 6 = 857) | 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 | No (remainder 3) | 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 5) | 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 5142 a prime number?
No. 5142 = 2 × 3 × 857, so it is divisible by 2.
What are the factors of 5142?
1, 2, 3, 6, 857, 1714, 2571, 5142.
What is 5142 in binary?
1010000010110 (hexadecimal 1416, octal 12026).
What is the square root of 5142?
About 71.7077.
Is 5142 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 5142?
It is a composite number with 8 divisors.