The number 38125
38125 is a composite number with 10 divisors. Its prime factorisation is Ć 61. Divisors (10): 1, 5, 25, 61, 125, 305, 625, 1525, 7625, 38125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38125: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38125 is composite. Its prime factorisation is
- 3
The divisors add up to 48422; without 38125 itself that is 10297, so 38125 is deficient (10297 is less than 38125). Euler's totient Ļ(38125) = 30000 numbers up to 38125 share no factor with it.
- 4
The digits of 38125 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38125 = 5^{4} \times 61 \]38125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 48422 |
| Euler totient Ļ(n) | 30000 |
| Square | 1453515625 |
| Cube | 55415283203125 |
| Square root | 195.256242 (= 25ā61) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8125 Ć |
38125 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and twenty-five |
| Binary (base 2) | 1001010011101101 |
| Octal (base 8) | 112355 |
| Hexadecimal (base 16) | 94ED |
| Base 3 | 1221022001 |
| As time | 38125 seconds = 10 h 35 min 25 s |
Is 38125 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 | Yes (38125 Ć· 5 = 7625) | 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 3) | 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 1) | 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 10) | 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 38125 a prime number?
No. 38125 = Ć 61, so it is divisible by 5.
What are the factors of 38125?
1, 5, 25, 61, 125, 305, 625, 1525, 7625, 38125.
What is 38125 in binary?
1001010011101101 (hexadecimal 94ED, octal 112355).
What is the square root of 38125?
About 195.2562, exactly 25ā61.
Is 38125 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 38125?
38125 is a happy number: repeatedly adding the squares of its digits reaches 1.