The number 3307
3307 is the 465th prime number. Its only divisors are 1 and 3307.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3307: the 465th prime number.
- 2
3307 is prime, so its only factors are 1 and 3307. It is the 465th prime; the next prime is 3313 and the one before is 3301.
- 3
The divisors add up to 3308; without 3307 itself that is 1, so 3307 is deficient (1 is less than 3307). Euler's totient φ(3307) = 3306 numbers up to 3307 share no factor with it.
- 4
The digits of 3307 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
3307 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3308 |
| Euler totient φ(n) | 3306 |
| Square | 10936249 |
| Cube | 36166175443 |
| Square root | 57.506521 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 74 |
| Scientific notation | 3.307 × |
3307 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and seven |
| Roman numerals | MMMCCCVII |
| Binary (base 2) | 110011101011 |
| Octal (base 8) | 6353 |
| Hexadecimal (base 16) | CEB |
| Base 3 | 11112111 |
| As time | 3307 seconds = 55 min 7 s |
Is 3307 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 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 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 7) | 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 3307 a prime number?
Yes. 3307 is divisible only by 1 and itself.
What are the factors of 3307?
1, 3307.
What is 3307 in binary?
110011101011 (hexadecimal CEB, octal 6353).
What is the square root of 3307?
About 57.5065.
What is 3307 in Roman numerals?
MMMCCCVII.
Is 3307 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3307?
3307 is the 465th prime number.