The number 1331
1331 is a perfect cube () and a palindrome: it reads 1331 backwards too. Its prime factorisation is . Divisors (4): 1, 11, 121, 1331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1331: a perfect cube (); a palindrome: it reads 1331 backwards too.
- 2
1331 is composite. Its prime factorisation is
- 3
The divisors add up to 1464; without 1331 itself that is 133, so 1331 is deficient (133 is less than 1331). Euler's totient ฯ(1331) = 1210 numbers up to 1331 share no factor with it.
- 4
The digits of 1331 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1331 = 11^{3} \]1331 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1464 |
| Euler totient ฯ(n) | 1210 |
| Square | 1771561 |
| Cube | 2357947691 |
| Square root | 36.482873 (= 11โ11) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 1.331 ร |
| Perfect power |
1331 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and thirty-one |
| Roman numerals | MCCCXXXI |
| Binary (base 2) | 10100110011 |
| Octal (base 8) | 2463 |
| Hexadecimal (base 16) | 533 |
| Base 3 | 1211022 |
| As time | 1331 seconds = 22 min 11 s |
Is 1331 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 3) | 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 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (1331 รท 11 = 121) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1331 a prime number?
No. 1331 = , so it is divisible by 11.
What are the factors of 1331?
1, 11, 121, 1331.
What is 1331 in binary?
10100110011 (hexadecimal 533, octal 2463).
What is the square root of 1331?
About 36.4829, exactly 11โ11.
What is 1331 in Roman numerals?
MCCCXXXI.
Is 1331 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1331?
1331 is a perfect cube (); a palindrome: it reads 1331 backwards too.