The number 13716
13716 is a composite number with 24 divisors. Its prime factorisation is × × 127. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 127, 254, 381, 508 … 13716.
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How to work it out
- 1
What is special about 13716: a Harshad number: divisible by its digit sum 18.
- 2
13716 is composite. Its prime factorisation is
- 3
The divisors add up to 35840; without 13716 itself that is 22124, so 13716 is abundant (22124 is more than 13716). Euler's totient φ(13716) = 4536 numbers up to 13716 share no factor with it.
- 4
The digits of 13716 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13716 = 2^{2} \times 3^{3} \times 127 \]13716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 35840 |
| Euler totient φ(n) | 4536 |
| Square | 188128656 |
| Cube | 2580372645696 |
| Square root | 117.115328 (= 6√381) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3716 × |
13716 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and sixteen |
| Binary (base 2) | 11010110010100 |
| Octal (base 8) | 32624 |
| Hexadecimal (base 16) | 3594 |
| Base 3 | 200211000 |
| As time | 13716 seconds = 3 h 48 min 36 s |
Is 13716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13716 ÷ 2 = 6858) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13716 ÷ 3 = 4572) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13716 ÷ 4 = 3429) | 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 (13716 ÷ 6 = 2286) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13716 ÷ 9 = 1524) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13716 ÷ 12 = 1143) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13716 a prime number?
No. 13716 = × × 127, so it is divisible by 2.
What are the factors of 13716?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 127, 254, 381, 508, 762, 1143, 1524, 2286, 3429, 4572, 6858, 13716.
What is 13716 in binary?
11010110010100 (hexadecimal 3594, octal 32624).
What is the square root of 13716?
About 117.1153, exactly 6√381.
Is 13716 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13716?
13716 is a Harshad number: divisible by its digit sum 18.