The number 77697
77697 is a composite number with 12 divisors. Its prime factorisation is × 89 × 97. Divisors (12): 1, 3, 9, 89, 97, 267, 291, 801, 873, 8633, 25899, 77697.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77697 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77697 is composite. Its prime factorisation is
- 3
The divisors add up to 114660; without 77697 itself that is 36963, so 77697 is deficient (36963 is less than 77697). Euler's totient φ(77697) = 50688 numbers up to 77697 share no factor with it.
- 4
The digits of 77697 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77697 = 3^{2} \times 89 \times 97 \]77697 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 114660 |
| Euler totient φ(n) | 50688 |
| Square | 6036823809 |
| Cube | 469043099487873 |
| Square root | 278.741816 (= 3√8633) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7697 × |
77697 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand six hundred and ninety-seven |
| Binary (base 2) | 10010111110000001 |
| Octal (base 8) | 227601 |
| Hexadecimal (base 16) | 12F81 |
| Base 3 | 10221120200 |
| As time | 77697 seconds = 21 h 34 min 57 s |
Is 77697 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 (77697 ÷ 3 = 25899) | 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 | No (remainder 2) | 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 4) | 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 (77697 ÷ 9 = 8633) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 77697 a prime number?
No. 77697 = × 89 × 97, so it is divisible by 3.
What are the factors of 77697?
1, 3, 9, 89, 97, 267, 291, 801, 873, 8633, 25899, 77697.
What is 77697 in binary?
10010111110000001 (hexadecimal 12F81, octal 227601).
What is the square root of 77697?
About 278.7418, exactly 3√8633.
Is 77697 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 77697?
It is a composite number with 12 divisors.