The number 77431
77431 is the 7607th prime number. Its only divisors are 1 and 77431.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77431: the 7607th prime number.
- 2
77431 is prime, so its only factors are 1 and 77431. It is the 7607th prime; the next prime is 77447 and the one before is 77419.
- 3
The divisors add up to 77432; without 77431 itself that is 1, so 77431 is deficient (1 is less than 77431). Euler's totient φ(77431) = 77430 numbers up to 77431 share no factor with it.
- 4
The digits of 77431 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
77431 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77432 |
| Euler totient φ(n) | 77430 |
| Square | 5995559761 |
| Cube | 464242187853991 |
| Square root | 278.264263 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7431 × |
77431 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and thirty-one |
| Binary (base 2) | 10010111001110111 |
| Octal (base 8) | 227167 |
| Hexadecimal (base 16) | 12E77 |
| Base 3 | 10221012211 |
| As time | 77431 seconds = 21 h 30 min 31 s |
Is 77431 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 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77431 a prime number?
Yes. 77431 is divisible only by 1 and itself.
What are the factors of 77431?
1, 77431.
What is 77431 in binary?
10010111001110111 (hexadecimal 12E77, octal 227167).
What is the square root of 77431?
About 278.2643.
Is 77431 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 77431?
77431 is the 7607th prime number.