The number 3313
3313 is the 466th prime number. Its only divisors are 1 and 3313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3313: the 466th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3313 is prime, so its only factors are 1 and 3313. It is the 466th prime; the next prime is 3319 and the one before is 3307.
- 3
The divisors add up to 3314; without 3313 itself that is 1, so 3313 is deficient (1 is less than 3313). Euler's totient φ(3313) = 3312 numbers up to 3313 share no factor with it.
- 4
The digits of 3313 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 92 steps to reach 1.
3313 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3314 |
| Euler totient φ(n) | 3312 |
| Square | 10975969 |
| Cube | 36363385297 |
| Square root | 57.558666 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 92 |
| Scientific notation | 3.313 × |
3313 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and thirteen |
| Roman numerals | MMMCCCXIII |
| Binary (base 2) | 110011110001 |
| Octal (base 8) | 6361 |
| Hexadecimal (base 16) | CF1 |
| Base 3 | 11112201 |
| As time | 3313 seconds = 55 min 13 s |
Is 3313 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3313 a prime number?
Yes. 3313 is divisible only by 1 and itself.
What are the factors of 3313?
1, 3313.
What is 3313 in binary?
110011110001 (hexadecimal CF1, octal 6361).
What is the square root of 3313?
About 57.5587.
What is 3313 in Roman numerals?
MMMCCCXIII.
Is 3313 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 3313?
3313 is the 466th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.