The number 42675
42675 is a composite number with 12 divisors. Its prime factorisation is 3 × × 569. Divisors (12): 1, 3, 5, 15, 25, 75, 569, 1707, 2845, 8535, 14225, 42675.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42675: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42675 is composite. Its prime factorisation is
- 3
The divisors add up to 70680; without 42675 itself that is 28005, so 42675 is deficient (28005 is less than 42675). Euler's totient φ(42675) = 22720 numbers up to 42675 share no factor with it.
- 4
The digits of 42675 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42675 = 3 \times 5^{2} \times 569 \]42675 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 70680 |
| Euler totient φ(n) | 22720 |
| Square | 1821155625 |
| Cube | 77717816296875 |
| Square root | 206.579283 (= 5√1707) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2675 × |
42675 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and seventy-five |
| Binary (base 2) | 1010011010110011 |
| Octal (base 8) | 123263 |
| Hexadecimal (base 16) | A6B3 |
| Base 3 | 2011112120 |
| As time | 42675 seconds = 11 h 51 min 15 s |
Is 42675 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 (42675 ÷ 3 = 14225) | 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 (42675 ÷ 5 = 8535) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42675 a prime number?
No. 42675 = 3 × × 569, so it is divisible by 3.
What are the factors of 42675?
1, 3, 5, 15, 25, 75, 569, 1707, 2845, 8535, 14225, 42675.
What is 42675 in binary?
1010011010110011 (hexadecimal A6B3, octal 123263).
What is the square root of 42675?
About 206.5793, exactly 5√1707.
Is 42675 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42675?
42675 is a happy number: repeatedly adding the squares of its digits reaches 1.