The number 83825
83825 is a composite number with 12 divisors. Its prime factorisation is × 7 × 479. Divisors (12): 1, 5, 7, 25, 35, 175, 479, 2395, 3353, 11975, 16765, 83825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83825 is composite. Its prime factorisation is
- 3
The divisors add up to 119040; without 83825 itself that is 35215, so 83825 is deficient (35215 is less than 83825). Euler's totient φ(83825) = 57360 numbers up to 83825 share no factor with it.
- 4
The digits of 83825 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83825 = 5^{2} \times 7 \times 479 \]83825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 119040 |
| Euler totient φ(n) | 57360 |
| Square | 7026630625 |
| Cube | 589007312140625 |
| Square root | 289.525474 (= 5√3353) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.3825 × |
83825 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand eight hundred and twenty-five |
| Binary (base 2) | 10100011101110001 |
| Octal (base 8) | 243561 |
| Hexadecimal (base 16) | 14771 |
| Base 3 | 11020222122 |
| As time | 83825 seconds = 23 h 17 min 5 s |
Is 83825 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 (83825 ÷ 5 = 16765) | 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 (83825 ÷ 7 = 11975) | 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 8) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83825 a prime number?
No. 83825 = × 7 × 479, so it is divisible by 5.
What are the factors of 83825?
1, 5, 7, 25, 35, 175, 479, 2395, 3353, 11975, 16765, 83825.
What is 83825 in binary?
10100011101110001 (hexadecimal 14771, octal 243561).
What is the square root of 83825?
About 289.5255, exactly 5√3353.
Is 83825 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 83825?
It is a composite number with 12 divisors.