The number 31357
31357 is the 3380th prime number. Its only divisors are 1 and 31357.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31357: the 3380th prime number.
- 2
31357 is prime, so its only factors are 1 and 31357. It is the 3380th prime; the next prime is 31379 and the one before is 31337.
- 3
The divisors add up to 31358; without 31357 itself that is 1, so 31357 is deficient (1 is less than 31357). Euler's totient φ(31357) = 31356 numbers up to 31357 share no factor with it.
- 4
The digits of 31357 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
31357 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31358 |
| Euler totient φ(n) | 31356 |
| Square | 983261449 |
| Cube | 30832129256293 |
| Square root | 177.079078 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.1357 × |
31357 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and fifty-seven |
| Binary (base 2) | 111101001111101 |
| Octal (base 8) | 75175 |
| Hexadecimal (base 16) | 7A7D |
| Base 3 | 1121000101 |
| As time | 31357 seconds = 8 h 42 min 37 s |
Is 31357 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | 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 31357 a prime number?
Yes. 31357 is divisible only by 1 and itself.
What are the factors of 31357?
1, 31357.
What is 31357 in binary?
111101001111101 (hexadecimal 7A7D, octal 75175).
What is the square root of 31357?
About 177.0791.
Is 31357 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 31357?
31357 is the 3380th prime number.