The number 42575
42575 is a composite number with 12 divisors. Its prime factorisation is × 13 × 131. Divisors (12): 1, 5, 13, 25, 65, 131, 325, 655, 1703, 3275, 8515, 42575.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42575 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42575 is composite. Its prime factorisation is
- 3
The divisors add up to 57288; without 42575 itself that is 14713, so 42575 is deficient (14713 is less than 42575). Euler's totient φ(42575) = 31200 numbers up to 42575 share no factor with it.
- 4
The digits of 42575 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42575 = 5^{2} \times 13 \times 131 \]42575 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57288 |
| Euler totient φ(n) | 31200 |
| Square | 1812630625 |
| Cube | 77172748859375 |
| Square root | 206.337103 (= 5√1703) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2575 × |
42575 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and seventy-five |
| Binary (base 2) | 1010011001001111 |
| Octal (base 8) | 123117 |
| Hexadecimal (base 16) | A64F |
| Base 3 | 2011101212 |
| As time | 42575 seconds = 11 h 49 min 35 s |
Is 42575 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42575 ÷ 5 = 8515) | 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 1) | 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 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42575 a prime number?
No. 42575 = × 13 × 131, so it is divisible by 5.
What are the factors of 42575?
1, 5, 13, 25, 65, 131, 325, 655, 1703, 3275, 8515, 42575.
What is 42575 in binary?
1010011001001111 (hexadecimal A64F, octal 123117).
What is the square root of 42575?
About 206.3371, exactly 5√1703.
Is 42575 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 42575?
It is a composite number with 12 divisors.