The number 55200
55200 is a composite number with 72 divisors. Its prime factorisation is × 3 × × 23. Divisors (72): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 25, 30 … 55200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55200: a Harshad number: divisible by its digit sum 12.
- 2
55200 is composite. Its prime factorisation is
- 3
The divisors add up to 187488; without 55200 itself that is 132288, so 55200 is abundant (132288 is more than 55200). Euler's totient φ(55200) = 14080 numbers up to 55200 share no factor with it.
- 4
The digits of 55200 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55200 = 2^{5} \times 3 \times 5^{2} \times 23 \]55200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 72 |
| Sum of divisors | 187488 |
| Euler totient φ(n) | 14080 |
| Square | 3047040000 |
| Cube | 168196608000000 |
| Square root | 234.946802 (= 20√138) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.52 × |
55200 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred |
| Binary (base 2) | 1101011110100000 |
| Octal (base 8) | 153640 |
| Hexadecimal (base 16) | D7A0 |
| Base 3 | 2210201110 |
| As time | 55200 seconds = 15 h 20 min 0 s |
Is 55200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55200 ÷ 2 = 27600) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55200 ÷ 3 = 18400) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55200 ÷ 4 = 13800) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55200 ÷ 5 = 11040) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55200 ÷ 6 = 9200) | 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 (55200 ÷ 8 = 6900) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55200 ÷ 10 = 5520) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55200 ÷ 12 = 4600) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55200 a prime number?
No. 55200 = × 3 × × 23, so it is divisible by 2.
What are the factors of 55200?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 25, 30, 32, 40, 46, 48, 50, 60, 69, 75, 80, 92, 96, 100, 115, 120, 138, 150, 160, 184, 200, 230, 240, 276, 300, 345, 368, 400, 460, 480, 552, 575, 600, 690, 736, 800, 920, 1104, 1150, 1200, 1380, 1725, 1840, 2208, 2300, 2400, 2760, 3450, 3680, 4600, 5520, 6900, 9200, 11040, 13800, 18400, 27600, 55200.
What is 55200 in binary?
1101011110100000 (hexadecimal D7A0, octal 153640).
What is the square root of 55200?
About 234.9468, exactly 20√138.
Is 55200 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 55200?
55200 is a Harshad number: divisible by its digit sum 12.