The number 13731
13731 is a palindrome: it reads 13731 backwards too. Its prime factorisation is 3 × 23 × 199. Divisors (8): 1, 3, 23, 69, 199, 597, 4577, 13731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13731: a palindrome: it reads 13731 backwards too.
- 2
13731 is composite. Its prime factorisation is
- 3
The divisors add up to 19200; without 13731 itself that is 5469, so 13731 is deficient (5469 is less than 13731). Euler's totient φ(13731) = 8712 numbers up to 13731 share no factor with it.
- 4
The digits of 13731 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13731 = 3 \times 23 \times 199 \]
13731 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19200 |
| Euler totient φ(n) | 8712 |
| Square | 188540361 |
| Cube | 2588847696891 |
| Square root | 117.179350 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3731 × |
13731 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and thirty-one |
| Binary (base 2) | 11010110100011 |
| Octal (base 8) | 32643 |
| Hexadecimal (base 16) | 35A3 |
| Base 3 | 200211120 |
| As time | 13731 seconds = 3 h 48 min 51 s |
Is 13731 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 (13731 ÷ 3 = 4577) | 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 4) | 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 6) | 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 | No (remainder 3) | 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 13731 a prime number?
No. 13731 = 3 × 23 × 199, so it is divisible by 3.
What are the factors of 13731?
1, 3, 23, 69, 199, 597, 4577, 13731.
What is 13731 in binary?
11010110100011 (hexadecimal 35A3, octal 32643).
What is the square root of 13731?
About 117.1793.
Is 13731 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13731?
13731 is a palindrome: it reads 13731 backwards too.