The number 38783
38783 is a palindromic prime: it reads the same backwards and is prime, the 4087th prime number and a palindrome: it reads 38783 backwards too. Its only divisors are 1 and 38783.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38783: a palindromic prime: it reads the same backwards and is prime; the 4087th prime number; a palindrome: it reads 38783 backwards too.
- 2
38783 is prime, so its only factors are 1 and 38783. It is the 4087th prime; the next prime is 38791 and the one before is 38767.
- 3
The divisors add up to 38784; without 38783 itself that is 1, so 38783 is deficient (1 is less than 38783). Euler's totient φ(38783) = 38782 numbers up to 38783 share no factor with it.
- 4
The digits of 38783 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
38783 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38784 |
| Euler totient φ(n) | 38782 |
| Square | 1504121089 |
| Cube | 58334328194687 |
| Square root | 196.933999 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8783 × |
38783 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand seven hundred and eighty-three |
| Binary (base 2) | 1001011101111111 |
| Octal (base 8) | 113577 |
| Hexadecimal (base 16) | 977F |
| Base 3 | 1222012102 |
| As time | 38783 seconds = 10 h 46 min 23 s |
Is 38783 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | 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 38783 a prime number?
Yes. 38783 is divisible only by 1 and itself.
What are the factors of 38783?
1, 38783.
What is 38783 in binary?
1001011101111111 (hexadecimal 977F, octal 113577).
What is the square root of 38783?
About 196.9340.
Is 38783 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 38783?
38783 is a palindromic prime: it reads the same backwards and is prime; the 4087th prime number; a palindrome: it reads 38783 backwards too.