The number 22409
22409 is the 2508th prime number. Its only divisors are 1 and 22409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22409: the 2508th prime number.
- 2
22409 is prime, so its only factors are 1 and 22409. It is the 2508th prime; the next prime is 22433 and the one before is 22397.
- 3
The divisors add up to 22410; without 22409 itself that is 1, so 22409 is deficient (1 is less than 22409). Euler's totient φ(22409) = 22408 numbers up to 22409 share no factor with it.
- 4
The digits of 22409 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 69 steps to reach 1.
22409 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 22410 |
| Euler totient φ(n) | 22408 |
| Square | 502163281 |
| Cube | 11252976963929 |
| Square root | 149.696359 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.2409 × |
22409 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand four hundred and nine |
| Binary (base 2) | 101011110001001 |
| Octal (base 8) | 53611 |
| Hexadecimal (base 16) | 5789 |
| Base 3 | 1010201222 |
| As time | 22409 seconds = 6 h 13 min 29 s |
Is 22409 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 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 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 22409 a prime number?
Yes. 22409 is divisible only by 1 and itself.
What are the factors of 22409?
1, 22409.
What is 22409 in binary?
101011110001001 (hexadecimal 5789, octal 53611).
What is the square root of 22409?
About 149.6964.
Is 22409 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 22409?
22409 is the 2508th prime number.