The number 80325
80325 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 17. Divisors (48): 1, 3, 5, 7, 9, 15, 17, 21, 25, 27, 35, 45, 51, 63, 75, 85 … 80325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80325 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80325 is composite. Its prime factorisation is
- 3
The divisors add up to 178560; without 80325 itself that is 98235, so 80325 is abundant (98235 is more than 80325). Euler's totient φ(80325) = 34560 numbers up to 80325 share no factor with it.
- 4
The digits of 80325 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80325 = 3^{3} \times 5^{2} \times 7 \times 17 \]80325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 178560 |
| Euler totient φ(n) | 34560 |
| Square | 6452105625 |
| Cube | 518265384328125 |
| Square root | 283.416654 (= 15√357) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0325 × |
80325 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and twenty-five |
| Binary (base 2) | 10011100111000101 |
| Octal (base 8) | 234705 |
| Hexadecimal (base 16) | 139C5 |
| Base 3 | 11002012000 |
| As time | 80325 seconds = 22 h 18 min 45 s |
Is 80325 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 (80325 ÷ 3 = 26775) | 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 (80325 ÷ 5 = 16065) | 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 | Yes (80325 ÷ 7 = 11475) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80325 ÷ 9 = 8925) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80325 a prime number?
No. 80325 = × × 7 × 17, so it is divisible by 3.
What are the factors of 80325?
1, 3, 5, 7, 9, 15, 17, 21, 25, 27, 35, 45, 51, 63, 75, 85, 105, 119, 135, 153, 175, 189, 225, 255, 315, 357, 425, 459, 525, 595, 675, 765, 945, 1071, 1275, 1575, 1785, 2295, 2975, 3213, 3825, 4725, 5355, 8925, 11475, 16065, 26775, 80325.
What is 80325 in binary?
10011100111000101 (hexadecimal 139C5, octal 234705).
What is the square root of 80325?
About 283.4167, exactly 15√357.
Is 80325 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80325?
It is a composite number with 48 divisors.