The number 42125
42125 is a composite number with 8 divisors. Its prime factorisation is Ć 337. Divisors (8): 1, 5, 25, 125, 337, 1685, 8425, 42125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42125 is composite. Its prime factorisation is
- 3
The divisors add up to 52728; without 42125 itself that is 10603, so 42125 is deficient (10603 is less than 42125). Euler's totient Ļ(42125) = 33600 numbers up to 42125 share no factor with it.
- 4
The digits of 42125 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42125 = 5^{3} \times 337 \]42125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52728 |
| Euler totient Ļ(n) | 33600 |
| Square | 1774515625 |
| Cube | 74751470703125 |
| Square root | 205.243758 (= 5ā1685) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.2125 Ć |
42125 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and twenty-five |
| Binary (base 2) | 1010010010001101 |
| Octal (base 8) | 122215 |
| Hexadecimal (base 16) | A48D |
| Base 3 | 2010210012 |
| As time | 42125 seconds = 11 h 42 min 5 s |
Is 42125 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 (42125 Ć· 5 = 8425) | 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 6) | 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 6) | 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 42125 a prime number?
No. 42125 = Ć 337, so it is divisible by 5.
What are the factors of 42125?
1, 5, 25, 125, 337, 1685, 8425, 42125.
What is 42125 in binary?
1010010010001101 (hexadecimal A48D, octal 122215).
What is the square root of 42125?
About 205.2438, exactly 5ā1685.
Is 42125 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42125?
It is a composite number with 8 divisors.