The number 53584
53584 is a composite number with 20 divisors. Its prime factorisation is × 17 × 197. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 136, 197, 272, 394, 788, 1576, 3152, 3349 … 53584.
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How to work it out
- 1
What is special about 53584: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53584 is composite. Its prime factorisation is
- 3
The divisors add up to 110484; without 53584 itself that is 56900, so 53584 is abundant (56900 is more than 53584). Euler's totient φ(53584) = 25088 numbers up to 53584 share no factor with it.
- 4
The digits of 53584 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53584 = 2^{4} \times 17 \times 197 \]53584 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 110484 |
| Euler totient φ(n) | 25088 |
| Square | 2871245056 |
| Cube | 153852795080704 |
| Square root | 231.482181 (= 4√3349) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3584 × |
53584 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand five hundred and eighty-four |
| Binary (base 2) | 1101000101010000 |
| Octal (base 8) | 150520 |
| Hexadecimal (base 16) | D150 |
| Base 3 | 2201111121 |
| As time | 53584 seconds = 14 h 53 min 4 s |
Is 53584 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53584 ÷ 2 = 26792) | 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 (53584 ÷ 4 = 13396) | 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 6) | 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 (53584 ÷ 8 = 6698) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | 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 53584 a prime number?
No. 53584 = × 17 × 197, so it is divisible by 2.
What are the factors of 53584?
1, 2, 4, 8, 16, 17, 34, 68, 136, 197, 272, 394, 788, 1576, 3152, 3349, 6698, 13396, 26792, 53584.
What is 53584 in binary?
1101000101010000 (hexadecimal D150, octal 150520).
What is the square root of 53584?
About 231.4822, exactly 4√3349.
Is 53584 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 53584?
53584 is a happy number: repeatedly adding the squares of its digits reaches 1.