The number 42975
42975 is a composite number with 18 divisors. Its prime factorisation is × × 191. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 75, 191, 225, 573, 955, 1719, 2865, 4775, 8595 … 42975.
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How to work it out
- 1
42975 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42975 is composite. Its prime factorisation is
- 3
The divisors add up to 77376; without 42975 itself that is 34401, so 42975 is deficient (34401 is less than 42975). Euler's totient φ(42975) = 22800 numbers up to 42975 share no factor with it.
- 4
The digits of 42975 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42975 = 3^{2} \times 5^{2} \times 191 \]42975 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 77376 |
| Euler totient φ(n) | 22800 |
| Square | 1846850625 |
| Cube | 79368405609375 |
| Square root | 207.304124 (= 15√191) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2975 × |
42975 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and seventy-five |
| Binary (base 2) | 1010011111011111 |
| Octal (base 8) | 123737 |
| Hexadecimal (base 16) | A7DF |
| Base 3 | 2011221200 |
| As time | 42975 seconds = 11 h 56 min 15 s |
Is 42975 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 | Yes (42975 ÷ 3 = 14325) | 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 (42975 ÷ 5 = 8595) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (42975 ÷ 9 = 4775) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42975 a prime number?
No. 42975 = × × 191, so it is divisible by 3.
What are the factors of 42975?
1, 3, 5, 9, 15, 25, 45, 75, 191, 225, 573, 955, 1719, 2865, 4775, 8595, 14325, 42975.
What is 42975 in binary?
1010011111011111 (hexadecimal A7DF, octal 123737).
What is the square root of 42975?
About 207.3041, exactly 15√191.
Is 42975 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42975?
It is a composite number with 18 divisors.