The number 38525
38525 is a composite number with 12 divisors. Its prime factorisation is × 23 × 67. Divisors (12): 1, 5, 23, 25, 67, 115, 335, 575, 1541, 1675, 7705, 38525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38525: a Harshad number: divisible by its digit sum 23.
- 2
38525 is composite. Its prime factorisation is
- 3
The divisors add up to 50592; without 38525 itself that is 12067, so 38525 is deficient (12067 is less than 38525). Euler's totient φ(38525) = 29040 numbers up to 38525 share no factor with it.
- 4
The digits of 38525 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38525 = 5^{2} \times 23 \times 67 \]38525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 50592 |
| Euler totient φ(n) | 29040 |
| Square | 1484175625 |
| Cube | 57177865953125 |
| Square root | 196.277864 (= 5√1541) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.8525 × |
38525 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and twenty-five |
| Binary (base 2) | 1001011001111101 |
| Octal (base 8) | 113175 |
| Hexadecimal (base 16) | 967D |
| Base 3 | 1221211212 |
| As time | 38525 seconds = 10 h 42 min 5 s |
Is 38525 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 (38525 ÷ 5 = 7705) | 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 4) | 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 5) | 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 3) | 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 38525 a prime number?
No. 38525 = × 23 × 67, so it is divisible by 5.
What are the factors of 38525?
1, 5, 23, 25, 67, 115, 335, 575, 1541, 1675, 7705, 38525.
What is 38525 in binary?
1001011001111101 (hexadecimal 967D, octal 113175).
What is the square root of 38525?
About 196.2779, exactly 5√1541.
Is 38525 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38525?
38525 is a Harshad number: divisible by its digit sum 23.