The number 55248
55248 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1151. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1151, 2302, 3453, 4604, 6906, 9208 … 55248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55248: a Harshad number: divisible by its digit sum 24.
- 2
55248 is composite. Its prime factorisation is
- 3
The divisors add up to 142848; without 55248 itself that is 87600, so 55248 is abundant (87600 is more than 55248). Euler's totient φ(55248) = 18400 numbers up to 55248 share no factor with it.
- 4
The digits of 55248 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55248 = 2^{4} \times 3 \times 1151 \]55248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 142848 |
| Euler totient φ(n) | 18400 |
| Square | 3052341504 |
| Cube | 168635763412992 |
| Square root | 235.048931 (= 4√3453) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.5248 × |
55248 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and forty-eight |
| Binary (base 2) | 1101011111010000 |
| Octal (base 8) | 153720 |
| Hexadecimal (base 16) | D7D0 |
| Base 3 | 2210210020 |
| As time | 55248 seconds = 15 h 20 min 48 s |
Is 55248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55248 ÷ 2 = 27624) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55248 ÷ 3 = 18416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55248 ÷ 4 = 13812) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55248 ÷ 6 = 9208) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (55248 ÷ 8 = 6906) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55248 ÷ 12 = 4604) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55248 a prime number?
No. 55248 = × 3 × 1151, so it is divisible by 2.
What are the factors of 55248?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1151, 2302, 3453, 4604, 6906, 9208, 13812, 18416, 27624, 55248.
What is 55248 in binary?
1101011111010000 (hexadecimal D7D0, octal 153720).
What is the square root of 55248?
About 235.0489, exactly 4√3453.
Is 55248 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55248?
55248 is a Harshad number: divisible by its digit sum 24.