The number 20242
20242 is a composite number with 8 divisors. Its prime factorisation is 2 × 29 × 349. Divisors (8): 1, 2, 29, 58, 349, 698, 10121, 20242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20242: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
20242 is composite. Its prime factorisation is
- 3
The divisors add up to 31500; without 20242 itself that is 11258, so 20242 is deficient (11258 is less than 20242). Euler's totient φ(20242) = 9744 numbers up to 20242 share no factor with it.
- 4
The digits of 20242 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 180 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20242 = 2 \times 29 \times 349 \]
20242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 31500 |
| Euler totient φ(n) | 9744 |
| Square | 409738564 |
| Cube | 8293928012488 |
| Square root | 142.274383 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 180 |
| Scientific notation | 2.0242 × |
20242 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand two hundred and forty-two |
| Binary (base 2) | 100111100010010 |
| Octal (base 8) | 47422 |
| Hexadecimal (base 16) | 4F12 |
| Base 3 | 1000202201 |
| As time | 20242 seconds = 5 h 37 min 22 s |
Is 20242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20242 ÷ 2 = 10121) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20242 a prime number?
No. 20242 = 2 × 29 × 349, so it is divisible by 2.
What are the factors of 20242?
1, 2, 29, 58, 349, 698, 10121, 20242.
What is 20242 in binary?
100111100010010 (hexadecimal 4F12, octal 47422).
What is the square root of 20242?
About 142.2744.
Is 20242 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 20242?
20242 is a happy number: repeatedly adding the squares of its digits reaches 1.