The number 83025
83025 is a composite number with 30 divisors. Its prime factorisation is × × 41. Divisors (30): 1, 3, 5, 9, 15, 25, 27, 41, 45, 75, 81, 123, 135, 205, 225, 369 … 83025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83025 is composite. Its prime factorisation is
- 3
The divisors add up to 157542; without 83025 itself that is 74517, so 83025 is deficient (74517 is less than 83025). Euler's totient φ(83025) = 43200 numbers up to 83025 share no factor with it.
- 4
The digits of 83025 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83025 = 3^{4} \times 5^{2} \times 41 \]83025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 157542 |
| Euler totient φ(n) | 43200 |
| Square | 6893150625 |
| Cube | 572303830640625 |
| Square root | 288.140591 (= 45√41) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3025 × |
83025 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and twenty-five |
| Binary (base 2) | 10100010001010001 |
| Octal (base 8) | 242121 |
| Hexadecimal (base 16) | 14451 |
| Base 3 | 11012220000 |
| As time | 83025 seconds = 23 h 3 min 45 s |
Is 83025 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 (83025 ÷ 3 = 27675) | 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 (83025 ÷ 5 = 16605) | 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 5) | 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 | Yes (83025 ÷ 9 = 9225) | 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 8) | 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 83025 a prime number?
No. 83025 = × × 41, so it is divisible by 3.
What are the factors of 83025?
1, 3, 5, 9, 15, 25, 27, 41, 45, 75, 81, 123, 135, 205, 225, 369, 405, 615, 675, 1025, 1107, 1845, 2025, 3075, 3321, 5535, 9225, 16605, 27675, 83025.
What is 83025 in binary?
10100010001010001 (hexadecimal 14451, octal 242121).
What is the square root of 83025?
About 288.1406, exactly 45√41.
Is 83025 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 83025?
It is a composite number with 30 divisors.