The number 42209
42209 is the 4413th prime number. Its only divisors are 1 and 42209.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42209: the 4413th prime number.
- 2
42209 is prime, so its only factors are 1 and 42209. It is the 4413th prime; the next prime is 42221 and the one before is 42197.
- 3
The divisors add up to 42210; without 42209 itself that is 1, so 42209 is deficient (1 is less than 42209). Euler's totient φ(42209) = 42208 numbers up to 42209 share no factor with it.
- 4
The digits of 42209 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 225 steps to reach 1.
42209 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42210 |
| Euler totient φ(n) | 42208 |
| Square | 1781599681 |
| Cube | 75199540935329 |
| Square root | 205.448290 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 225 |
| Scientific notation | 4.2209 × |
42209 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and nine |
| Binary (base 2) | 1010010011100001 |
| Octal (base 8) | 122341 |
| Hexadecimal (base 16) | A4E1 |
| Base 3 | 2010220022 |
| As time | 42209 seconds = 11 h 43 min 29 s |
Is 42209 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42209 a prime number?
Yes. 42209 is divisible only by 1 and itself.
What are the factors of 42209?
1, 42209.
What is 42209 in binary?
1010010011100001 (hexadecimal A4E1, octal 122341).
What is the square root of 42209?
About 205.4483.
Is 42209 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42209?
42209 is the 4413th prime number.