The number 307
307 is the 63rd prime number. Its only divisors are 1 and 307.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 307: the 63rd prime number.
- 2
307 is prime, so its only factors are 1 and 307. It is the 63rd prime; the next prime is 311 and the one before is 293.
- 3
The divisors add up to 308; without 307 itself that is 1, so 307 is deficient (1 is less than 307). Euler's totient φ(307) = 306 numbers up to 307 share no factor with it.
- 4
The digits of 307 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
307 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 308 |
| Euler totient φ(n) | 306 |
| Square | 94249 |
| Cube | 28934443 |
| Square root | 17.521415 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 37 |
| Scientific notation | 3.07 × |
307 in other forms
| Form | Value |
|---|---|
| In words | three hundred and seven |
| Roman numerals | CCCVII |
| Binary (base 2) | 100110011 |
| Octal (base 8) | 463 |
| Hexadecimal (base 16) | 133 |
| Base 3 | 102101 |
| As time | 307 seconds = 5 min 7 s |
Is 307 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 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 6) | 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 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 10) | 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 307 a prime number?
Yes. 307 is divisible only by 1 and itself.
What are the factors of 307?
1, 307.
What is 307 in binary?
100110011 (hexadecimal 133, octal 463).
What is the square root of 307?
About 17.5214.
What is 307 in Roman numerals?
CCCVII.
Is 307 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 307?
307 is the 63rd prime number.