The number 77317
77317 is the 7596th prime number. Its only divisors are 1 and 77317.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77317: the 7596th prime number.
- 2
77317 is prime, so its only factors are 1 and 77317. It is the 7596th prime; the next prime is 77323 and the one before is 77291.
- 3
The divisors add up to 77318; without 77317 itself that is 1, so 77317 is deficient (1 is less than 77317). Euler's totient φ(77317) = 77316 numbers up to 77317 share no factor with it.
- 4
The digits of 77317 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 138 steps to reach 1.
77317 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77318 |
| Euler totient φ(n) | 77316 |
| Square | 5977918489 |
| Cube | 462194723814013 |
| Square root | 278.059346 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7317 × |
77317 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and seventeen |
| Binary (base 2) | 10010111000000101 |
| Octal (base 8) | 227005 |
| Hexadecimal (base 16) | 12E05 |
| Base 3 | 10221001121 |
| As time | 77317 seconds = 21 h 28 min 37 s |
Is 77317 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 | No (remainder 2) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 77317 a prime number?
Yes. 77317 is divisible only by 1 and itself.
What are the factors of 77317?
1, 77317.
What is 77317 in binary?
10010111000000101 (hexadecimal 12E05, octal 227005).
What is the square root of 77317?
About 278.0593.
Is 77317 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77317?
77317 is the 7596th prime number.