The number 55232
55232 is a composite number with 14 divisors. Its prime factorisation is × 863. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 863, 1726, 3452, 6904, 13808, 27616, 55232.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55232 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55232 is composite. Its prime factorisation is
- 3
The divisors add up to 109728; without 55232 itself that is 54496, so 55232 is deficient (54496 is less than 55232). Euler's totient φ(55232) = 27584 numbers up to 55232 share no factor with it.
- 4
The digits of 55232 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55232 = 2^{6} \times 863 \]55232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 109728 |
| Euler totient φ(n) | 27584 |
| Square | 3050573824 |
| Cube | 168489293447168 |
| Square root | 235.014893 (= 8√863) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.5232 × |
55232 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and thirty-two |
| Binary (base 2) | 1101011111000000 |
| Octal (base 8) | 153700 |
| Hexadecimal (base 16) | D7C0 |
| Base 3 | 2210202122 |
| As time | 55232 seconds = 15 h 20 min 32 s |
Is 55232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55232 ÷ 2 = 27616) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55232 ÷ 4 = 13808) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (55232 ÷ 8 = 6904) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55232 a prime number?
No. 55232 = × 863, so it is divisible by 2.
What are the factors of 55232?
1, 2, 4, 8, 16, 32, 64, 863, 1726, 3452, 6904, 13808, 27616, 55232.
What is 55232 in binary?
1101011111000000 (hexadecimal D7C0, octal 153700).
What is the square root of 55232?
About 235.0149, exactly 8√863.
Is 55232 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 55232?
It is a composite number with 14 divisors.