The number 55824
55824 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1163. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1163, 2326, 3489, 4652, 6978, 9304 … 55824.
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How to work it out
- 1
What is special about 55824: a Harshad number: divisible by its digit sum 24.
- 2
55824 is composite. Its prime factorisation is
- 3
The divisors add up to 144336; without 55824 itself that is 88512, so 55824 is abundant (88512 is more than 55824). Euler's totient φ(55824) = 18592 numbers up to 55824 share no factor with it.
- 4
The digits of 55824 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55824 = 2^{4} \times 3 \times 1163 \]55824 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 144336 |
| Euler totient φ(n) | 18592 |
| Square | 3116318976 |
| Cube | 173965390516224 |
| Square root | 236.271031 (= 4√3489) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5824 × |
55824 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and twenty-four |
| Binary (base 2) | 1101101000010000 |
| Octal (base 8) | 155020 |
| Hexadecimal (base 16) | DA10 |
| Base 3 | 2211120120 |
| As time | 55824 seconds = 15 h 30 min 24 s |
Is 55824 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55824 ÷ 2 = 27912) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55824 ÷ 3 = 18608) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55824 ÷ 4 = 13956) | 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 (55824 ÷ 6 = 9304) | 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 (55824 ÷ 8 = 6978) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55824 ÷ 12 = 4652) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55824 a prime number?
No. 55824 = × 3 × 1163, so it is divisible by 2.
What are the factors of 55824?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1163, 2326, 3489, 4652, 6978, 9304, 13956, 18608, 27912, 55824.
What is 55824 in binary?
1101101000010000 (hexadecimal DA10, octal 155020).
What is the square root of 55824?
About 236.2710, exactly 4√3489.
Is 55824 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55824?
55824 is a Harshad number: divisible by its digit sum 24.