The number 1314
1314 is a composite number with 12 divisors. Its prime factorisation is 2 × × 73. Divisors (12): 1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1314: a Harshad number: divisible by its digit sum 9.
- 2
1314 is composite. Its prime factorisation is
- 3
The divisors add up to 2886; without 1314 itself that is 1572, so 1314 is abundant (1572 is more than 1314). Euler's totient φ(1314) = 432 numbers up to 1314 share no factor with it.
- 4
The digits of 1314 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1314 = 2 \times 3^{2} \times 73 \]1314 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2886 |
| Euler totient φ(n) | 432 |
| Square | 1726596 |
| Cube | 2268747144 |
| Square root | 36.249138 (= 3√146) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 1.314 × |
1314 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and fourteen |
| Roman numerals | MCCCXIV |
| Binary (base 2) | 10100100010 |
| Octal (base 8) | 2442 |
| Hexadecimal (base 16) | 522 |
| Base 3 | 1210200 |
| As time | 1314 seconds = 21 min 54 s |
Is 1314 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1314 ÷ 2 = 657) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1314 ÷ 3 = 438) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (1314 ÷ 6 = 219) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1314 ÷ 9 = 146) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1314 a prime number?
No. 1314 = 2 × × 73, so it is divisible by 2.
What are the factors of 1314?
1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314.
What is 1314 in binary?
10100100010 (hexadecimal 522, octal 2442).
What is the square root of 1314?
About 36.2491, exactly 3√146.
What is 1314 in Roman numerals?
MCCCXIV.
Is 1314 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 1314?
1314 is a Harshad number: divisible by its digit sum 9.