The number 3299
3299 is a twin prime (3299 and 3301 are both prime) and the 463rd prime number. Its only divisors are 1 and 3299.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3299: a twin prime (3299 and 3301 are both prime); the 463rd prime number.
- 2
3299 is prime, so its only factors are 1 and 3299. It is the 463rd prime; the next prime is 3301 and the one before is 3271.
- 3
The divisors add up to 3300; without 3299 itself that is 1, so 3299 is deficient (1 is less than 3299). Euler's totient φ(3299) = 3298 numbers up to 3299 share no factor with it.
- 4
The digits of 3299 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
3299 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3300 |
| Euler totient φ(n) | 3298 |
| Square | 10883401 |
| Cube | 35904339899 |
| Square root | 57.436922 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.299 × |
3299 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and ninety-nine |
| Roman numerals | MMMCCXCIX |
| Binary (base 2) | 110011100011 |
| Octal (base 8) | 6343 |
| Hexadecimal (base 16) | CE3 |
| Base 3 | 11112012 |
| As time | 3299 seconds = 54 min 59 s |
Is 3299 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 4) | 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 2) | 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 9) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3299 a prime number?
Yes. 3299 is divisible only by 1 and itself.
What are the factors of 3299?
1, 3299.
What is 3299 in binary?
110011100011 (hexadecimal CE3, octal 6343).
What is the square root of 3299?
About 57.4369.
What is 3299 in Roman numerals?
MMMCCXCIX.
Is 3299 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 3299?
3299 is a twin prime (3299 and 3301 are both prime); the 463rd prime number.