The number 31477
31477 is the 3387th prime number. Its only divisors are 1 and 31477.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31477: the 3387th prime number.
- 2
31477 is prime, so its only factors are 1 and 31477. It is the 3387th prime; the next prime is 31481 and the one before is 31469.
- 3
The divisors add up to 31478; without 31477 itself that is 1, so 31477 is deficient (1 is less than 31477). Euler's totient φ(31477) = 31476 numbers up to 31477 share no factor with it.
- 4
The digits of 31477 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 103 steps to reach 1.
31477 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31478 |
| Euler totient φ(n) | 31476 |
| Square | 990801529 |
| Cube | 31187459728333 |
| Square root | 177.417587 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1477 × |
31477 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and seventy-seven |
| Binary (base 2) | 111101011110101 |
| Octal (base 8) | 75365 |
| Hexadecimal (base 16) | 7AF5 |
| Base 3 | 1121011211 |
| As time | 31477 seconds = 8 h 44 min 37 s |
Is 31477 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 5) | 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 4) | 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 6) | 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 31477 a prime number?
Yes. 31477 is divisible only by 1 and itself.
What are the factors of 31477?
1, 31477.
What is 31477 in binary?
111101011110101 (hexadecimal 7AF5, octal 75365).
What is the square root of 31477?
About 177.4176.
Is 31477 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 31477?
31477 is the 3387th prime number.