The number 78325
78325 is a composite number with 12 divisors. Its prime factorisation is × 13 × 241. Divisors (12): 1, 5, 13, 25, 65, 241, 325, 1205, 3133, 6025, 15665, 78325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 78325: a Harshad number: divisible by its digit sum 25.
- 2
78325 is composite. Its prime factorisation is
- 3
The divisors add up to 105028; without 78325 itself that is 26703, so 78325 is deficient (26703 is less than 78325). Euler's totient φ(78325) = 57600 numbers up to 78325 share no factor with it.
- 4
The digits of 78325 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78325 = 5^{2} \times 13 \times 241 \]78325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 105028 |
| Euler totient φ(n) | 57600 |
| Square | 6134805625 |
| Cube | 480508650578125 |
| Square root | 279.866039 (= 5√3133) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.8325 × |
78325 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand three hundred and twenty-five |
| Binary (base 2) | 10011000111110101 |
| Octal (base 8) | 230765 |
| Hexadecimal (base 16) | 131F5 |
| Base 3 | 10222102221 |
| As time | 78325 seconds = 21 h 45 min 25 s |
Is 78325 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 1) | 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 (78325 ÷ 5 = 15665) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 78325 a prime number?
No. 78325 = × 13 × 241, so it is divisible by 5.
What are the factors of 78325?
1, 5, 13, 25, 65, 241, 325, 1205, 3133, 6025, 15665, 78325.
What is 78325 in binary?
10011000111110101 (hexadecimal 131F5, octal 230765).
What is the square root of 78325?
About 279.8660, exactly 5√3133.
Is 78325 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 78325?
78325 is a Harshad number: divisible by its digit sum 25.