The number 42014
42014 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 3001. Divisors (8): 1, 2, 7, 14, 3001, 6002, 21007, 42014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42014 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42014 is composite. Its prime factorisation is
- 3
The divisors add up to 72048; without 42014 itself that is 30034, so 42014 is deficient (30034 is less than 42014). Euler's totient φ(42014) = 18000 numbers up to 42014 share no factor with it.
- 4
The digits of 42014 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42014 = 2 \times 7 \times 3001 \]
42014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72048 |
| Euler totient φ(n) | 18000 |
| Square | 1765176196 |
| Cube | 74162112698744 |
| Square root | 204.973169 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2014 × |
42014 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and fourteen |
| Binary (base 2) | 1010010000011110 |
| Octal (base 8) | 122036 |
| Hexadecimal (base 16) | A41E |
| Base 3 | 2010122002 |
| As time | 42014 seconds = 11 h 40 min 14 s |
Is 42014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42014 ÷ 2 = 21007) | 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 4) | 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 (42014 ÷ 7 = 6002) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42014 a prime number?
No. 42014 = 2 × 7 × 3001, so it is divisible by 2.
What are the factors of 42014?
1, 2, 7, 14, 3001, 6002, 21007, 42014.
What is 42014 in binary?
1010010000011110 (hexadecimal A41E, octal 122036).
What is the square root of 42014?
About 204.9732.
Is 42014 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 42014?
It is a composite number with 8 divisors.