The number 38609
38609 is a twin prime (38609 and 38611 are both prime) and the 4067th prime number. Its only divisors are 1 and 38609.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38609: a twin prime (38609 and 38611 are both prime); the 4067th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38609 is prime, so its only factors are 1 and 38609. It is the 4067th prime; the next prime is 38611 and the one before is 38603.
- 3
The divisors add up to 38610; without 38609 itself that is 1, so 38609 is deficient (1 is less than 38609). Euler's totient φ(38609) = 38608 numbers up to 38609 share no factor with it.
- 4
The digits of 38609 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
38609 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38610 |
| Euler totient φ(n) | 38608 |
| Square | 1490654881 |
| Cube | 57552694300529 |
| Square root | 196.491730 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8609 × |
38609 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand six hundred and nine |
| Binary (base 2) | 1001011011010001 |
| Octal (base 8) | 113321 |
| Hexadecimal (base 16) | 96D1 |
| Base 3 | 1221221222 |
| As time | 38609 seconds = 10 h 43 min 29 s |
Is 38609 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 4) | 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 10) | 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 38609 a prime number?
Yes. 38609 is divisible only by 1 and itself.
What are the factors of 38609?
1, 38609.
What is 38609 in binary?
1001011011010001 (hexadecimal 96D1, octal 113321).
What is the square root of 38609?
About 196.4917.
Is 38609 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 38609?
38609 is a twin prime (38609 and 38611 are both prime); the 4067th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.