The number 38325
38325 is a composite number with 24 divisors. Its prime factorisation is 3 × × 7 × 73. Divisors (24): 1, 3, 5, 7, 15, 21, 25, 35, 73, 75, 105, 175, 219, 365, 511, 525 … 38325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38325: a Harshad number: divisible by its digit sum 21.
- 2
38325 is composite. Its prime factorisation is
- 3
The divisors add up to 73408; without 38325 itself that is 35083, so 38325 is deficient (35083 is less than 38325). Euler's totient φ(38325) = 17280 numbers up to 38325 share no factor with it.
- 4
The digits of 38325 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38325 = 3 \times 5^{2} \times 7 \times 73 \]38325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 73408 |
| Euler totient φ(n) | 17280 |
| Square | 1468805625 |
| Cube | 56291975578125 |
| Square root | 195.767720 (= 5√1533) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.8325 × |
38325 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and twenty-five |
| Binary (base 2) | 1001010110110101 |
| Octal (base 8) | 112665 |
| Hexadecimal (base 16) | 95B5 |
| Base 3 | 1221120110 |
| As time | 38325 seconds = 10 h 38 min 45 s |
Is 38325 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 | Yes (38325 ÷ 3 = 12775) | 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 (38325 ÷ 5 = 7665) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38325 ÷ 7 = 5475) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38325 a prime number?
No. 38325 = 3 × × 7 × 73, so it is divisible by 3.
What are the factors of 38325?
1, 3, 5, 7, 15, 21, 25, 35, 73, 75, 105, 175, 219, 365, 511, 525, 1095, 1533, 1825, 2555, 5475, 7665, 12775, 38325.
What is 38325 in binary?
1001010110110101 (hexadecimal 95B5, octal 112665).
What is the square root of 38325?
About 195.7677, exactly 5√1533.
Is 38325 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 38325?
38325 is a Harshad number: divisible by its digit sum 21.