The number 77471
77471 is the 7609th prime number. Its only divisors are 1 and 77471.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77471: the 7609th prime number.
- 2
77471 is prime, so its only factors are 1 and 77471. It is the 7609th prime; the next prime is 77477 and the one before is 77447.
- 3
The divisors add up to 77472; without 77471 itself that is 1, so 77471 is deficient (1 is less than 77471). Euler's totient φ(77471) = 77470 numbers up to 77471 share no factor with it.
- 4
The digits of 77471 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
77471 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77472 |
| Euler totient φ(n) | 77470 |
| Square | 6001755841 |
| Cube | 464962026758111 |
| Square root | 278.336128 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7471 × |
77471 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and seventy-one |
| Binary (base 2) | 10010111010011111 |
| Octal (base 8) | 227237 |
| Hexadecimal (base 16) | 12E9F |
| Base 3 | 10221021022 |
| As time | 77471 seconds = 21 h 31 min 11 s |
Is 77471 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77471 a prime number?
Yes. 77471 is divisible only by 1 and itself.
What are the factors of 77471?
1, 77471.
What is 77471 in binary?
10010111010011111 (hexadecimal 12E9F, octal 227237).
What is the square root of 77471?
About 278.3361.
Is 77471 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77471?
77471 is the 7609th prime number.