The number 13713
13713 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 653. Divisors (8): 1, 3, 7, 21, 653, 1959, 4571, 13713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13713 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13713 is composite. Its prime factorisation is
- 3
The divisors add up to 20928; without 13713 itself that is 7215, so 13713 is deficient (7215 is less than 13713). Euler's totient φ(13713) = 7824 numbers up to 13713 share no factor with it.
- 4
The digits of 13713 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13713 = 3 \times 7 \times 653 \]
13713 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20928 |
| Euler totient φ(n) | 7824 |
| Square | 188046369 |
| Cube | 2578679858097 |
| Square root | 117.102519 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3713 × |
13713 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and thirteen |
| Binary (base 2) | 11010110010001 |
| Octal (base 8) | 32621 |
| Hexadecimal (base 16) | 3591 |
| Base 3 | 200210220 |
| As time | 13713 seconds = 3 h 48 min 33 s |
Is 13713 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 (13713 ÷ 3 = 4571) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (13713 ÷ 7 = 1959) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13713 a prime number?
No. 13713 = 3 × 7 × 653, so it is divisible by 3.
What are the factors of 13713?
1, 3, 7, 21, 653, 1959, 4571, 13713.
What is 13713 in binary?
11010110010001 (hexadecimal 3591, octal 32621).
What is the square root of 13713?
About 117.1025.
Is 13713 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13713?
It is a composite number with 8 divisors.