The number 38809
38809 is a perfect square (197²). Its prime factorisation is . Divisors (3): 1, 197, 38809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38809: a perfect square (197²); the square of a prime (197²).
- 2
38809 is composite. Its prime factorisation is
- 3
The divisors add up to 39007; without 38809 itself that is 198, so 38809 is deficient (198 is less than 38809). Euler's totient φ(38809) = 38612 numbers up to 38809 share no factor with it.
- 4
The digits of 38809 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38809 = 197^{2} \]38809 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 39007 |
| Euler totient φ(n) | 38612 |
| Square | 1506138481 |
| Cube | 58451728309129 |
| Square root | 197 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8809 × |
| Perfect power |
38809 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and nine |
| Binary (base 2) | 1001011110011001 |
| Octal (base 8) | 113631 |
| Hexadecimal (base 16) | 9799 |
| Base 3 | 1222020101 |
| As time | 38809 seconds = 10 h 46 min 49 s |
Is 38809 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38809 a prime number?
No. 38809 = , so it is divisible by 197.
What are the factors of 38809?
1, 197, 38809.
What is 38809 in binary?
1001011110011001 (hexadecimal 9799, octal 113631).
What is the square root of 38809?
197, because 197 × 197 = 38809.
Is 38809 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 38809?
38809 is a perfect square (197²); the square of a prime (197²).