The number 3317
3317 is a composite number with 4 divisors. Its prime factorisation is 31 × 107. Divisors (4): 1, 31, 107, 3317.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3317: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 107, the product of two primes.
- 2
3317 is composite. Its prime factorisation is
- 3
The divisors add up to 3456; without 3317 itself that is 139, so 3317 is deficient (139 is less than 3317). Euler's totient φ(3317) = 3180 numbers up to 3317 share no factor with it.
- 4
The digits of 3317 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3317 = 31 \times 107 \]
3317 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3456 |
| Euler totient φ(n) | 3180 |
| Square | 11002489 |
| Cube | 36495256013 |
| Square root | 57.593402 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 92 |
| Scientific notation | 3.317 × |
3317 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and seventeen |
| Roman numerals | MMMCCCXVII |
| Binary (base 2) | 110011110101 |
| Octal (base 8) | 6365 |
| Hexadecimal (base 16) | CF5 |
| Base 3 | 11112212 |
| As time | 3317 seconds = 55 min 17 s |
Is 3317 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 1) | 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 5) | 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3317 a prime number?
No. 3317 = 31 × 107, so it is divisible by 31.
What are the factors of 3317?
1, 31, 107, 3317.
What is 3317 in binary?
110011110101 (hexadecimal CF5, octal 6365).
What is the square root of 3317?
About 57.5934.
What is 3317 in Roman numerals?
MMMCCCXVII.
Is 3317 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3317?
3317 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 31 × 107, the product of two primes.