The number 1326
1326 is a triangular number: 1 + 2 + … + 51 = 1326. Its prime factorisation is 2 × 3 × 13 × 17. Divisors (16): 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 442, 663, 1326.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1326: a triangular number: 1 + 2 + … + 51 = 1326.
- 2
1326 is composite. Its prime factorisation is
- 3
The divisors add up to 3024; without 1326 itself that is 1698, so 1326 is abundant (1698 is more than 1326). Euler's totient φ(1326) = 384 numbers up to 1326 share no factor with it.
- 4
The digits of 1326 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 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1326 = 2 \times 3 \times 13 \times 17 \]
1326 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 3024 |
| Euler totient φ(n) | 384 |
| Square | 1758276 |
| Cube | 2331473976 |
| Square root | 36.414283 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 26 |
| Scientific notation | 1.326 × |
1326 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and twenty-six |
| Roman numerals | MCCCXXVI |
| Binary (base 2) | 10100101110 |
| Octal (base 8) | 2456 |
| Hexadecimal (base 16) | 52E |
| Base 3 | 1211010 |
| As time | 1326 seconds = 22 min 6 s |
Is 1326 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1326 ÷ 2 = 663) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1326 ÷ 3 = 442) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1326 ÷ 6 = 221) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | 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 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1326 a prime number?
No. 1326 = 2 × 3 × 13 × 17, so it is divisible by 2.
What are the factors of 1326?
1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 442, 663, 1326.
What is 1326 in binary?
10100101110 (hexadecimal 52E, octal 2456).
What is the square root of 1326?
About 36.4143.
What is 1326 in Roman numerals?
MCCCXXVI.
Is 1326 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1326?
1326 is a triangular number: 1 + 2 + … + 51 = 1326.