The number 3319
3319 is the 467th prime number. Its only divisors are 1 and 3319.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3319: the 467th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3319 is prime, so its only factors are 1 and 3319. It is the 467th prime; the next prime is 3323 and the one before is 3313.
- 3
The divisors add up to 3320; without 3319 itself that is 1, so 3319 is deficient (1 is less than 3319). Euler's totient φ(3319) = 3318 numbers up to 3319 share no factor with it.
- 4
The digits of 3319 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
3319 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3320 |
| Euler totient φ(n) | 3318 |
| Square | 11015761 |
| Cube | 36561310759 |
| Square root | 57.610763 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 43 |
| Scientific notation | 3.319 × |
3319 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and nineteen |
| Roman numerals | MMMCCCXIX |
| Binary (base 2) | 110011110111 |
| Octal (base 8) | 6367 |
| Hexadecimal (base 16) | CF7 |
| Base 3 | 11112221 |
| As time | 3319 seconds = 55 min 19 s |
Is 3319 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 4) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | 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 3319 a prime number?
Yes. 3319 is divisible only by 1 and itself.
What are the factors of 3319?
1, 3319.
What is 3319 in binary?
110011110111 (hexadecimal CF7, octal 6367).
What is the square root of 3319?
About 57.6108.
What is 3319 in Roman numerals?
MMMCCCXIX.
Is 3319 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3319?
3319 is the 467th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.