The number 1317
1317 is a binary palindrome (10100100101). Its prime factorisation is 3 × 439. Divisors (4): 1, 3, 439, 1317.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1317: a binary palindrome (10100100101); a semiprime: 3 × 439, the product of two primes.
- 2
1317 is composite. Its prime factorisation is
- 3
The divisors add up to 1760; without 1317 itself that is 443, so 1317 is deficient (443 is less than 1317). Euler's totient φ(1317) = 876 numbers up to 1317 share no factor with it.
- 4
The digits of 1317 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1317 = 3 \times 439 \]
1317 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1760 |
| Euler totient φ(n) | 876 |
| Square | 1734489 |
| Cube | 2284322013 |
| Square root | 36.290495 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 1.317 × |
1317 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and seventeen |
| Roman numerals | MCCCXVII |
| Binary (base 2) | 10100100101 |
| Octal (base 8) | 2445 |
| Hexadecimal (base 16) | 525 |
| Base 3 | 1210210 |
| As time | 1317 seconds = 21 min 57 s |
Is 1317 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 | Yes (1317 ÷ 3 = 439) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1317 a prime number?
No. 1317 = 3 × 439, so it is divisible by 3.
What are the factors of 1317?
1, 3, 439, 1317.
What is 1317 in binary?
10100100101 (hexadecimal 525, octal 2445).
What is the square root of 1317?
About 36.2905.
What is 1317 in Roman numerals?
MCCCXVII.
Is 1317 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1317?
1317 is a binary palindrome (10100100101); a semiprime: 3 × 439, the product of two primes.