The number 31307
31307 is the 3374th prime number. Its only divisors are 1 and 31307.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31307: the 3374th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31307 is prime, so its only factors are 1 and 31307. It is the 3374th prime; the next prime is 31319 and the one before is 31277.
- 3
The divisors add up to 31308; without 31307 itself that is 1, so 31307 is deficient (1 is less than 31307). Euler's totient φ(31307) = 31306 numbers up to 31307 share no factor with it.
- 4
The digits of 31307 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
31307 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31308 |
| Euler totient φ(n) | 31306 |
| Square | 980128249 |
| Cube | 30684875091443 |
| Square root | 176.937842 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1307 × |
31307 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and seven |
| Binary (base 2) | 111101001001011 |
| Octal (base 8) | 75113 |
| Hexadecimal (base 16) | 7A4B |
| Base 3 | 1120221112 |
| As time | 31307 seconds = 8 h 41 min 47 s |
Is 31307 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 2) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 1) | 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 31307 a prime number?
Yes. 31307 is divisible only by 1 and itself.
What are the factors of 31307?
1, 31307.
What is 31307 in binary?
111101001001011 (hexadecimal 7A4B, octal 75113).
What is the square root of 31307?
About 176.9378.
Is 31307 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31307?
31307 is the 3374th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.