The number 15584
15584 is a composite number with 12 divisors. Its prime factorisation is × 487. Divisors (12): 1, 2, 4, 8, 16, 32, 487, 974, 1948, 3896, 7792, 15584.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15584 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15584 is composite. Its prime factorisation is
- 3
The divisors add up to 30744; without 15584 itself that is 15160, so 15584 is deficient (15160 is less than 15584). Euler's totient φ(15584) = 7776 numbers up to 15584 share no factor with it.
- 4
The digits of 15584 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15584 = 2^{5} \times 487 \]15584 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 30744 |
| Euler totient φ(n) | 7776 |
| Square | 242861056 |
| Cube | 3784746696704 |
| Square root | 124.835892 (= 4√974) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.5584 × |
15584 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand five hundred and eighty-four |
| Binary (base 2) | 11110011100000 |
| Octal (base 8) | 36340 |
| Hexadecimal (base 16) | 3CE0 |
| Base 3 | 210101012 |
| As time | 15584 seconds = 4 h 19 min 44 s |
Is 15584 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15584 ÷ 2 = 7792) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15584 ÷ 4 = 3896) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (15584 ÷ 8 = 1948) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15584 a prime number?
No. 15584 = × 487, so it is divisible by 2.
What are the factors of 15584?
1, 2, 4, 8, 16, 32, 487, 974, 1948, 3896, 7792, 15584.
What is 15584 in binary?
11110011100000 (hexadecimal 3CE0, octal 36340).
What is the square root of 15584?
About 124.8359, exactly 4√974.
Is 15584 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 15584?
It is a composite number with 12 divisors.