The number 5584
5584 is a composite number with 10 divisors. Its prime factorisation is × 349. Divisors (10): 1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5584: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5584 is composite. Its prime factorisation is
- 3
The divisors add up to 10850; without 5584 itself that is 5266, so 5584 is deficient (5266 is less than 5584). Euler's totient φ(5584) = 2784 numbers up to 5584 share no factor with it.
- 4
The digits of 5584 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5584 = 2^{4} \times 349 \]5584 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 10850 |
| Euler totient φ(n) | 2784 |
| Square | 31181056 |
| Cube | 174115016704 |
| Square root | 74.726167 (= 4√349) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 36 |
| Scientific notation | 5.584 × |
5584 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and eighty-four |
| Binary (base 2) | 1010111010000 |
| Octal (base 8) | 12720 |
| Hexadecimal (base 16) | 15D0 |
| Base 3 | 21122211 |
| As time | 5584 seconds = 1 h 33 min 4 s |
Is 5584 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5584 ÷ 2 = 2792) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5584 ÷ 4 = 1396) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (5584 ÷ 8 = 698) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5584 a prime number?
No. 5584 = × 349, so it is divisible by 2.
What are the factors of 5584?
1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584.
What is 5584 in binary?
1010111010000 (hexadecimal 15D0, octal 12720).
What is the square root of 5584?
About 74.7262, exactly 4√349.
Is 5584 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 5584?
5584 is a happy number: repeatedly adding the squares of its digits reaches 1.