The number 41825
41825 is a composite number with 12 divisors. Its prime factorisation is × 7 × 239. Divisors (12): 1, 5, 7, 25, 35, 175, 239, 1195, 1673, 5975, 8365, 41825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41825 is composite. Its prime factorisation is
- 3
The divisors add up to 59520; without 41825 itself that is 17695, so 41825 is deficient (17695 is less than 41825). Euler's totient φ(41825) = 28560 numbers up to 41825 share no factor with it.
- 4
The digits of 41825 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41825 = 5^{2} \times 7 \times 239 \]41825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 59520 |
| Euler totient φ(n) | 28560 |
| Square | 1749330625 |
| Cube | 73165753390625 |
| Square root | 204.511613 (= 5√1673) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.1825 × |
41825 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand eight hundred and twenty-five |
| Binary (base 2) | 1010001101100001 |
| Octal (base 8) | 121541 |
| Hexadecimal (base 16) | A361 |
| Base 3 | 2010101002 |
| As time | 41825 seconds = 11 h 37 min 5 s |
Is 41825 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41825 ÷ 5 = 8365) | 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 | Yes (41825 ÷ 7 = 5975) | 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 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41825 a prime number?
No. 41825 = × 7 × 239, so it is divisible by 5.
What are the factors of 41825?
1, 5, 7, 25, 35, 175, 239, 1195, 1673, 5975, 8365, 41825.
What is 41825 in binary?
1010001101100001 (hexadecimal A361, octal 121541).
What is the square root of 41825?
About 204.5116, exactly 5√1673.
Is 41825 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 41825?
It is a composite number with 12 divisors.