The number 12942
12942 is a composite number with 12 divisors. Its prime factorisation is 2 × × 719. Divisors (12): 1, 2, 3, 6, 9, 18, 719, 1438, 2157, 4314, 6471, 12942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12942: a Harshad number: divisible by its digit sum 18.
- 2
12942 is composite. Its prime factorisation is
- 3
The divisors add up to 28080; without 12942 itself that is 15138, so 12942 is abundant (15138 is more than 12942). Euler's totient φ(12942) = 4308 numbers up to 12942 share no factor with it.
- 4
The digits of 12942 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12942 = 2 \times 3^{2} \times 719 \]12942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 28080 |
| Euler totient φ(n) | 4308 |
| Square | 167495364 |
| Cube | 2167725000888 |
| Square root | 113.762911 (= 3√1438) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.2942 × |
12942 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand nine hundred and forty-two |
| Binary (base 2) | 11001010001110 |
| Octal (base 8) | 31216 |
| Hexadecimal (base 16) | 328E |
| Base 3 | 122202100 |
| As time | 12942 seconds = 3 h 35 min 42 s |
Is 12942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12942 ÷ 2 = 6471) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12942 ÷ 3 = 4314) | 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 (12942 ÷ 6 = 2157) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (12942 ÷ 9 = 1438) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12942 a prime number?
No. 12942 = 2 × × 719, so it is divisible by 2.
What are the factors of 12942?
1, 2, 3, 6, 9, 18, 719, 1438, 2157, 4314, 6471, 12942.
What is 12942 in binary?
11001010001110 (hexadecimal 328E, octal 31216).
What is the square root of 12942?
About 113.7629, exactly 3√1438.
Is 12942 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 12942?
12942 is a Harshad number: divisible by its digit sum 18.