The number 77307
77307 is a composite number with 8 divisors. Its prime factorisation is 3 × 73 × 353. Divisors (8): 1, 3, 73, 219, 353, 1059, 25769, 77307.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77307 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77307 is composite. Its prime factorisation is
- 3
The divisors add up to 104784; without 77307 itself that is 27477, so 77307 is deficient (27477 is less than 77307). Euler's totient φ(77307) = 50688 numbers up to 77307 share no factor with it.
- 4
The digits of 77307 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77307 = 3 \times 73 \times 353 \]
77307 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 104784 |
| Euler totient φ(n) | 50688 |
| Square | 5976372249 |
| Cube | 462015409453443 |
| Square root | 278.041364 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7307 × |
77307 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and seven |
| Binary (base 2) | 10010110111111011 |
| Octal (base 8) | 226773 |
| Hexadecimal (base 16) | 12DFB |
| Base 3 | 10221001020 |
| As time | 77307 seconds = 21 h 28 min 27 s |
Is 77307 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 (77307 ÷ 3 = 25769) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77307 a prime number?
No. 77307 = 3 × 73 × 353, so it is divisible by 3.
What are the factors of 77307?
1, 3, 73, 219, 353, 1059, 25769, 77307.
What is 77307 in binary?
10010110111111011 (hexadecimal 12DFB, octal 226773).
What is the square root of 77307?
About 278.0414.
Is 77307 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 77307?
It is a composite number with 8 divisors.