The number 42175
42175 is a composite number with 12 divisors. Its prime factorisation is × 7 × 241. Divisors (12): 1, 5, 7, 25, 35, 175, 241, 1205, 1687, 6025, 8435, 42175.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42175 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42175 is composite. Its prime factorisation is
- 3
The divisors add up to 60016; without 42175 itself that is 17841, so 42175 is deficient (17841 is less than 42175). Euler's totient φ(42175) = 28800 numbers up to 42175 share no factor with it.
- 4
The digits of 42175 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
\[ 42175 = 5^{2} \times 7 \times 241 \]42175 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 60016 |
| Euler totient φ(n) | 28800 |
| Square | 1778730625 |
| Cube | 75017964109375 |
| Square root | 205.365528 (= 5√1687) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2175 × |
42175 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and seventy-five |
| Binary (base 2) | 1010010010111111 |
| Octal (base 8) | 122277 |
| Hexadecimal (base 16) | A4BF |
| Base 3 | 2010212001 |
| As time | 42175 seconds = 11 h 42 min 55 s |
Is 42175 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42175 ÷ 5 = 8435) | 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 | Yes (42175 ÷ 7 = 6025) | 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 7) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42175 a prime number?
No. 42175 = × 7 × 241, so it is divisible by 5.
What are the factors of 42175?
1, 5, 7, 25, 35, 175, 241, 1205, 1687, 6025, 8435, 42175.
What is 42175 in binary?
1010010010111111 (hexadecimal A4BF, octal 122277).
What is the square root of 42175?
About 205.3655, exactly 5√1687.
Is 42175 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42175?
It is a composite number with 12 divisors.