The number 38083
38083 is a palindromic prime: it reads the same backwards and is prime, the 4023rd prime number and a palindrome: it reads 38083 backwards too. Its only divisors are 1 and 38083.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38083: a palindromic prime: it reads the same backwards and is prime; the 4023rd prime number; a palindrome: it reads 38083 backwards too.
- 2
38083 is prime, so its only factors are 1 and 38083. It is the 4023rd prime; the next prime is 38113 and the one before is 38069.
- 3
The divisors add up to 38084; without 38083 itself that is 1, so 38083 is deficient (1 is less than 38083). Euler's totient φ(38083) = 38082 numbers up to 38083 share no factor with it.
- 4
The digits of 38083 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
38083 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38084 |
| Euler totient φ(n) | 38082 |
| Square | 1450314889 |
| Cube | 55232341917787 |
| Square root | 195.148661 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8083 × |
38083 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and eighty-three |
| Binary (base 2) | 1001010011000011 |
| Octal (base 8) | 112303 |
| Hexadecimal (base 16) | 94C3 |
| Base 3 | 1221020111 |
| As time | 38083 seconds = 10 h 34 min 43 s |
Is 38083 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38083 a prime number?
Yes. 38083 is divisible only by 1 and itself.
What are the factors of 38083?
1, 38083.
What is 38083 in binary?
1001010011000011 (hexadecimal 94C3, octal 112303).
What is the square root of 38083?
About 195.1487.
Is 38083 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38083?
38083 is a palindromic prime: it reads the same backwards and is prime; the 4023rd prime number; a palindrome: it reads 38083 backwards too.