The number 8142
8142 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 59. Divisors (16): 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8142 is composite. Its prime factorisation is
- 3
The divisors add up to 17280; without 8142 itself that is 9138, so 8142 is abundant (9138 is more than 8142). Euler's totient φ(8142) = 2552 numbers up to 8142 share no factor with it.
- 4
The digits of 8142 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8142 = 2 \times 3 \times 23 \times 59 \]
8142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 17280 |
| Euler totient φ(n) | 2552 |
| Square | 66292164 |
| Cube | 539750799288 |
| Square root | 90.233032 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.142 × |
8142 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and forty-two |
| Binary (base 2) | 1111111001110 |
| Octal (base 8) | 17716 |
| Hexadecimal (base 16) | 1FCE |
| Base 3 | 102011120 |
| As time | 8142 seconds = 2 h 15 min 42 s |
Is 8142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8142 ÷ 2 = 4071) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8142 ÷ 3 = 2714) | 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 (8142 ÷ 6 = 1357) | 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 6) | 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 2) | 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 8142 a prime number?
No. 8142 = 2 × 3 × 23 × 59, so it is divisible by 2.
What are the factors of 8142?
1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142.
What is 8142 in binary?
1111111001110 (hexadecimal 1FCE, octal 17716).
What is the square root of 8142?
About 90.2330.
Is 8142 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 8142?
It is a composite number with 16 divisors.