The number 38225
38225 is a composite number with 12 divisors. Its prime factorisation is × 11 × 139. Divisors (12): 1, 5, 11, 25, 55, 139, 275, 695, 1529, 3475, 7645, 38225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38225 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38225 is composite. Its prime factorisation is
- 3
The divisors add up to 52080; without 38225 itself that is 13855, so 38225 is deficient (13855 is less than 38225). Euler's totient φ(38225) = 27600 numbers up to 38225 share no factor with it.
- 4
The digits of 38225 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38225 = 5^{2} \times 11 \times 139 \]38225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 52080 |
| Euler totient φ(n) | 27600 |
| Square | 1461150625 |
| Cube | 55852482640625 |
| Square root | 195.512148 (= 5√1529) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8225 × |
38225 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and twenty-five |
| Binary (base 2) | 1001010101010001 |
| Octal (base 8) | 112521 |
| Hexadecimal (base 16) | 9551 |
| Base 3 | 1221102202 |
| As time | 38225 seconds = 10 h 37 min 5 s |
Is 38225 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38225 ÷ 5 = 7645) | 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 1) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38225 ÷ 11 = 3475) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38225 a prime number?
No. 38225 = × 11 × 139, so it is divisible by 5.
What are the factors of 38225?
1, 5, 11, 25, 55, 139, 275, 695, 1529, 3475, 7645, 38225.
What is 38225 in binary?
1001010101010001 (hexadecimal 9551, octal 112521).
What is the square root of 38225?
About 195.5121, exactly 5√1529.
Is 38225 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 38225?
It is a composite number with 12 divisors.