The number 15684
15684 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1307. Divisors (12): 1, 2, 3, 4, 6, 12, 1307, 2614, 3921, 5228, 7842, 15684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15684 is composite. Its prime factorisation is
- 3
The divisors add up to 36624; without 15684 itself that is 20940, so 15684 is abundant (20940 is more than 15684). Euler's totient φ(15684) = 5224 numbers up to 15684 share no factor with it.
- 4
The digits of 15684 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15684 = 2^{2} \times 3 \times 1307 \]15684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 36624 |
| Euler totient φ(n) | 5224 |
| Square | 245987856 |
| Cube | 3858073533504 |
| Square root | 125.235778 (= 2√3921) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.5684 × |
15684 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand six hundred and eighty-four |
| Binary (base 2) | 11110101000100 |
| Octal (base 8) | 36504 |
| Hexadecimal (base 16) | 3D44 |
| Base 3 | 210111220 |
| As time | 15684 seconds = 4 h 21 min 24 s |
Is 15684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15684 ÷ 2 = 7842) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15684 ÷ 3 = 5228) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15684 ÷ 4 = 3921) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15684 ÷ 6 = 2614) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15684 ÷ 12 = 1307) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15684 a prime number?
No. 15684 = × 3 × 1307, so it is divisible by 2.
What are the factors of 15684?
1, 2, 3, 4, 6, 12, 1307, 2614, 3921, 5228, 7842, 15684.
What is 15684 in binary?
11110101000100 (hexadecimal 3D44, octal 36504).
What is the square root of 15684?
About 125.2358, exactly 2√3921.
Is 15684 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 15684?
It is a composite number with 12 divisors.