The number 77325
77325 is a composite number with 12 divisors. Its prime factorisation is 3 × × 1031. Divisors (12): 1, 3, 5, 15, 25, 75, 1031, 3093, 5155, 15465, 25775, 77325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77325 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77325 is composite. Its prime factorisation is
- 3
The divisors add up to 127968; without 77325 itself that is 50643, so 77325 is deficient (50643 is less than 77325). Euler's totient φ(77325) = 41200 numbers up to 77325 share no factor with it.
- 4
The digits of 77325 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77325 = 3 \times 5^{2} \times 1031 \]77325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 127968 |
| Euler totient φ(n) | 41200 |
| Square | 5979155625 |
| Cube | 462338208703125 |
| Square root | 278.073731 (= 5√3093) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7325 × |
77325 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and twenty-five |
| Binary (base 2) | 10010111000001101 |
| Octal (base 8) | 227015 |
| Hexadecimal (base 16) | 12E0D |
| Base 3 | 10221001220 |
| As time | 77325 seconds = 21 h 28 min 45 s |
Is 77325 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 (77325 ÷ 3 = 25775) | 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 (77325 ÷ 5 = 15465) | 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 3) | 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 6) | 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 6) | 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 77325 a prime number?
No. 77325 = 3 × × 1031, so it is divisible by 3.
What are the factors of 77325?
1, 3, 5, 15, 25, 75, 1031, 3093, 5155, 15465, 25775, 77325.
What is 77325 in binary?
10010111000001101 (hexadecimal 12E0D, octal 227015).
What is the square root of 77325?
About 278.0737, exactly 5√3093.
Is 77325 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 77325?
It is a composite number with 12 divisors.