The number 20042
20042 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 911. Divisors (8): 1, 2, 11, 22, 911, 1822, 10021, 20042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20042 is composite. Its prime factorisation is
- 3
The divisors add up to 32832; without 20042 itself that is 12790, so 20042 is deficient (12790 is less than 20042). Euler's totient φ(20042) = 9100 numbers up to 20042 share no factor with it.
- 4
The digits of 20042 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20042 = 2 \times 11 \times 911 \]
20042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32832 |
| Euler totient φ(n) | 9100 |
| Square | 401681764 |
| Cube | 8050505914088 |
| Square root | 141.569771 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 92 |
| Scientific notation | 2.0042 × |
20042 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and forty-two |
| Binary (base 2) | 100111001001010 |
| Octal (base 8) | 47112 |
| Hexadecimal (base 16) | 4E4A |
| Base 3 | 1000111022 |
| As time | 20042 seconds = 5 h 34 min 2 s |
Is 20042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20042 ÷ 2 = 10021) | 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 | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (20042 ÷ 11 = 1822) | 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 20042 a prime number?
No. 20042 = 2 × 11 × 911, so it is divisible by 2.
What are the factors of 20042?
1, 2, 11, 22, 911, 1822, 10021, 20042.
What is 20042 in binary?
100111001001010 (hexadecimal 4E4A, octal 47112).
What is the square root of 20042?
About 141.5698.
Is 20042 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 20042?
It is a composite number with 8 divisors.