The number 38183
38183 is a palindromic prime: it reads the same backwards and is prime, the 4030th prime number and a palindrome: it reads 38183 backwards too. Its only divisors are 1 and 38183.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38183: a palindromic prime: it reads the same backwards and is prime; the 4030th prime number; a palindrome: it reads 38183 backwards too.
- 2
38183 is prime, so its only factors are 1 and 38183. It is the 4030th prime; the next prime is 38189 and the one before is 38177.
- 3
The divisors add up to 38184; without 38183 itself that is 1, so 38183 is deficient (1 is less than 38183). Euler's totient φ(38183) = 38182 numbers up to 38183 share no factor with it.
- 4
The digits of 38183 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
38183 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38184 |
| Euler totient φ(n) | 38182 |
| Square | 1457941489 |
| Cube | 55668579874487 |
| Square root | 195.404708 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8183 × |
38183 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and eighty-three |
| Binary (base 2) | 1001010100100111 |
| Octal (base 8) | 112447 |
| Hexadecimal (base 16) | 9527 |
| Base 3 | 1221101012 |
| As time | 38183 seconds = 10 h 36 min 23 s |
Is 38183 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 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38183 a prime number?
Yes. 38183 is divisible only by 1 and itself.
What are the factors of 38183?
1, 38183.
What is 38183 in binary?
1001010100100111 (hexadecimal 9527, octal 112447).
What is the square root of 38183?
About 195.4047.
Is 38183 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38183?
38183 is a palindromic prime: it reads the same backwards and is prime; the 4030th prime number; a palindrome: it reads 38183 backwards too.