The number 20442
20442 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 3407. Divisors (8): 1, 2, 3, 6, 3407, 6814, 10221, 20442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20442 is composite. Its prime factorisation is
- 3
The divisors add up to 40896; without 20442 itself that is 20454, so 20442 is abundant (20454 is more than 20442). Euler's totient φ(20442) = 6812 numbers up to 20442 share no factor with it.
- 4
The digits of 20442 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20442 = 2 \times 3 \times 3407 \]
20442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40896 |
| Euler totient φ(n) | 6812 |
| Square | 417875364 |
| Cube | 8542208190888 |
| Square root | 142.975522 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 61 |
| Scientific notation | 2.0442 × |
20442 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand four hundred and forty-two |
| Binary (base 2) | 100111111011010 |
| Octal (base 8) | 47732 |
| Hexadecimal (base 16) | 4FDA |
| Base 3 | 1001001010 |
| As time | 20442 seconds = 5 h 40 min 42 s |
Is 20442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20442 ÷ 2 = 10221) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20442 ÷ 3 = 6814) | 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 (20442 ÷ 6 = 3407) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 4) | 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 20442 a prime number?
No. 20442 = 2 × 3 × 3407, so it is divisible by 2.
What are the factors of 20442?
1, 2, 3, 6, 3407, 6814, 10221, 20442.
What is 20442 in binary?
100111111011010 (hexadecimal 4FDA, octal 47732).
What is the square root of 20442?
About 142.9755.
Is 20442 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 20442?
It is a composite number with 8 divisors.