The number 14042
14042 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 17 × 59. Divisors (16): 1, 2, 7, 14, 17, 34, 59, 118, 119, 238, 413, 826, 1003, 2006, 7021, 14042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
14042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
14042 is composite. Its prime factorisation is
- 3
The divisors add up to 25920; without 14042 itself that is 11878, so 14042 is deficient (11878 is less than 14042). Euler's totient φ(14042) = 5568 numbers up to 14042 share no factor with it.
- 4
The digits of 14042 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14042 = 2 \times 7 \times 17 \times 59 \]
14042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 25920 |
| Euler totient φ(n) | 5568 |
| Square | 197177764 |
| Cube | 2768770162088 |
| Square root | 118.498945 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.4042 × |
14042 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand and forty-two |
| Binary (base 2) | 11011011011010 |
| Octal (base 8) | 33332 |
| Hexadecimal (base 16) | 36DA |
| Base 3 | 201021002 |
| As time | 14042 seconds = 3 h 54 min 2 s |
Is 14042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14042 ÷ 2 = 7021) | 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 | Yes (14042 ÷ 7 = 2006) | 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 2) | 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 14042 a prime number?
No. 14042 = 2 × 7 × 17 × 59, so it is divisible by 2.
What are the factors of 14042?
1, 2, 7, 14, 17, 34, 59, 118, 119, 238, 413, 826, 1003, 2006, 7021, 14042.
What is 14042 in binary?
11011011011010 (hexadecimal 36DA, octal 33332).
What is the square root of 14042?
About 118.4989.
Is 14042 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 14042?
It is a composite number with 16 divisors.