The number 13431
13431 is a palindrome: it reads 13431 backwards too. Its prime factorisation is 3 × × 37. Divisors (12): 1, 3, 11, 33, 37, 111, 121, 363, 407, 1221, 4477, 13431.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13431: a palindrome: it reads 13431 backwards too.
- 2
13431 is composite. Its prime factorisation is
- 3
The divisors add up to 20216; without 13431 itself that is 6785, so 13431 is deficient (6785 is less than 13431). Euler's totient φ(13431) = 7920 numbers up to 13431 share no factor with it.
- 4
The digits of 13431 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13431 = 3 \times 11^{2} \times 37 \]13431 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 20216 |
| Euler totient φ(n) | 7920 |
| Square | 180391761 |
| Cube | 2422841741991 |
| Square root | 115.892191 (= 11√111) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3431 × |
13431 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and thirty-one |
| Binary (base 2) | 11010001110111 |
| Octal (base 8) | 32167 |
| Hexadecimal (base 16) | 3477 |
| Base 3 | 200102110 |
| As time | 13431 seconds = 3 h 43 min 51 s |
Is 13431 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 (13431 ÷ 3 = 4477) | 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 3) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (13431 ÷ 11 = 1221) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13431 a prime number?
No. 13431 = 3 × × 37, so it is divisible by 3.
What are the factors of 13431?
1, 3, 11, 33, 37, 111, 121, 363, 407, 1221, 4477, 13431.
What is 13431 in binary?
11010001110111 (hexadecimal 3477, octal 32167).
What is the square root of 13431?
About 115.8922, exactly 11√111.
Is 13431 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13431?
13431 is a palindrome: it reads 13431 backwards too.