The number 12142
12142 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 467. Divisors (8): 1, 2, 13, 26, 467, 934, 6071, 12142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12142 is composite. Its prime factorisation is
- 3
The divisors add up to 19656; without 12142 itself that is 7514, so 12142 is deficient (7514 is less than 12142). Euler's totient φ(12142) = 5592 numbers up to 12142 share no factor with it.
- 4
The digits of 12142 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12142 = 2 \times 13 \times 467 \]
12142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19656 |
| Euler totient φ(n) | 5592 |
| Square | 147428164 |
| Cube | 1790072767288 |
| Square root | 110.190744 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 156 |
| Scientific notation | 1.2142 × |
12142 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand one hundred and forty-two |
| Binary (base 2) | 10111101101110 |
| Octal (base 8) | 27556 |
| Hexadecimal (base 16) | 2F6E |
| Base 3 | 121122201 |
| As time | 12142 seconds = 3 h 22 min 22 s |
Is 12142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12142 ÷ 2 = 6071) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | 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 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12142 a prime number?
No. 12142 = 2 × 13 × 467, so it is divisible by 2.
What are the factors of 12142?
1, 2, 13, 26, 467, 934, 6071, 12142.
What is 12142 in binary?
10111101101110 (hexadecimal 2F6E, octal 27556).
What is the square root of 12142?
About 110.1907.
Is 12142 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 12142?
It is a composite number with 8 divisors.