The number 38803
38803 is the 4089th prime number. Its only divisors are 1 and 38803.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38803: the 4089th prime number.
- 2
38803 is prime, so its only factors are 1 and 38803. It is the 4089th prime; the next prime is 38821 and the one before is 38791.
- 3
The divisors add up to 38804; without 38803 itself that is 1, so 38803 is deficient (1 is less than 38803). Euler's totient φ(38803) = 38802 numbers up to 38803 share no factor with it.
- 4
The digits of 38803 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 137 steps to reach 1.
38803 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38804 |
| Euler totient φ(n) | 38802 |
| Square | 1505672809 |
| Cube | 58424622007627 |
| Square root | 196.984771 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.8803 × |
38803 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and three |
| Binary (base 2) | 1001011110010011 |
| Octal (base 8) | 113623 |
| Hexadecimal (base 16) | 9793 |
| Base 3 | 1222020011 |
| As time | 38803 seconds = 10 h 46 min 43 s |
Is 38803 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 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 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 6) | 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 38803 a prime number?
Yes. 38803 is divisible only by 1 and itself.
What are the factors of 38803?
1, 38803.
What is 38803 in binary?
1001011110010011 (hexadecimal 9793, octal 113623).
What is the square root of 38803?
About 196.9848.
Is 38803 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38803?
38803 is the 4089th prime number.