The number 77825
77825 is a composite number with 12 divisors. Its prime factorisation is × 11 × 283. Divisors (12): 1, 5, 11, 25, 55, 275, 283, 1415, 3113, 7075, 15565, 77825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77825 is composite. Its prime factorisation is
- 3
The divisors add up to 105648; without 77825 itself that is 27823, so 77825 is deficient (27823 is less than 77825). Euler's totient φ(77825) = 56400 numbers up to 77825 share no factor with it.
- 4
The digits of 77825 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77825 = 5^{2} \times 11 \times 283 \]77825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 105648 |
| Euler totient φ(n) | 56400 |
| Square | 6056730625 |
| Cube | 471365060890625 |
| Square root | 278.971325 (= 5√3113) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7825 × |
77825 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand eight hundred and twenty-five |
| Binary (base 2) | 10011000000000001 |
| Octal (base 8) | 230001 |
| Hexadecimal (base 16) | 13001 |
| Base 3 | 10221202102 |
| As time | 77825 seconds = 21 h 37 min 5 s |
Is 77825 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 (77825 ÷ 5 = 15565) | 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 | No (remainder 6) | 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 2) | 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 | Yes (77825 ÷ 11 = 7075) | 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 77825 a prime number?
No. 77825 = × 11 × 283, so it is divisible by 5.
What are the factors of 77825?
1, 5, 11, 25, 55, 275, 283, 1415, 3113, 7075, 15565, 77825.
What is 77825 in binary?
10011000000000001 (hexadecimal 13001, octal 230001).
What is the square root of 77825?
About 278.9713, exactly 5√3113.
Is 77825 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77825?
It is a composite number with 12 divisors.