The number 42825
42825 is a composite number with 12 divisors. Its prime factorisation is 3 × × 571. Divisors (12): 1, 3, 5, 15, 25, 75, 571, 1713, 2855, 8565, 14275, 42825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42825 is composite. Its prime factorisation is
- 3
The divisors add up to 70928; without 42825 itself that is 28103, so 42825 is deficient (28103 is less than 42825). Euler's totient φ(42825) = 22800 numbers up to 42825 share no factor with it.
- 4
The digits of 42825 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42825 = 3 \times 5^{2} \times 571 \]42825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 70928 |
| Euler totient φ(n) | 22800 |
| Square | 1833980625 |
| Cube | 78540220265625 |
| Square root | 206.942021 (= 5√1713) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2825 × |
42825 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and twenty-five |
| Binary (base 2) | 1010011101001001 |
| Octal (base 8) | 123511 |
| Hexadecimal (base 16) | A749 |
| Base 3 | 2011202010 |
| As time | 42825 seconds = 11 h 53 min 45 s |
Is 42825 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 (42825 ÷ 3 = 14275) | 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 (42825 ÷ 5 = 8565) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42825 a prime number?
No. 42825 = 3 × × 571, so it is divisible by 3.
What are the factors of 42825?
1, 3, 5, 15, 25, 75, 571, 1713, 2855, 8565, 14275, 42825.
What is 42825 in binary?
1010011101001001 (hexadecimal A749, octal 123511).
What is the square root of 42825?
About 206.9420, exactly 5√1713.
Is 42825 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42825?
It is a composite number with 12 divisors.