The number 55224
55224 is a composite number with 48 divisors. Its prime factorisation is × × 13 × 59. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 59 … 55224.
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How to work it out
- 1
What is special about 55224: a Harshad number: divisible by its digit sum 18.
- 2
55224 is composite. Its prime factorisation is
- 3
The divisors add up to 163800; without 55224 itself that is 108576, so 55224 is abundant (108576 is more than 55224). Euler's totient φ(55224) = 16704 numbers up to 55224 share no factor with it.
- 4
The digits of 55224 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55224 = 2^{3} \times 3^{2} \times 13 \times 59 \]55224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 163800 |
| Euler totient φ(n) | 16704 |
| Square | 3049690176 |
| Cube | 168416090279424 |
| Square root | 234.997872 (= 6√1534) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5224 × |
55224 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and twenty-four |
| Binary (base 2) | 1101011110111000 |
| Octal (base 8) | 153670 |
| Hexadecimal (base 16) | D7B8 |
| Base 3 | 2210202100 |
| As time | 55224 seconds = 15 h 20 min 24 s |
Is 55224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55224 ÷ 2 = 27612) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55224 ÷ 3 = 18408) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55224 ÷ 4 = 13806) | 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 (55224 ÷ 6 = 9204) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (55224 ÷ 8 = 6903) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55224 ÷ 9 = 6136) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55224 ÷ 12 = 4602) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55224 a prime number?
No. 55224 = × × 13 × 59, so it is divisible by 2.
What are the factors of 55224?
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 59, 72, 78, 104, 117, 118, 156, 177, 234, 236, 312, 354, 468, 472, 531, 708, 767, 936, 1062, 1416, 1534, 2124, 2301, 3068, 4248, 4602, 6136, 6903, 9204, 13806, 18408, 27612, 55224.
What is 55224 in binary?
1101011110111000 (hexadecimal D7B8, octal 153670).
What is the square root of 55224?
About 234.9979, exactly 6√1534.
Is 55224 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55224?
55224 is a Harshad number: divisible by its digit sum 18.