The number 55032
55032 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2293. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2293, 4586, 6879, 9172, 13758, 18344, 27516, 55032.
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How to work it out
- 1
55032 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55032 is composite. Its prime factorisation is
- 3
The divisors add up to 137640; without 55032 itself that is 82608, so 55032 is abundant (82608 is more than 55032). Euler's totient φ(55032) = 18336 numbers up to 55032 share no factor with it.
- 4
The digits of 55032 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55032 = 2^{3} \times 3 \times 2293 \]55032 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 137640 |
| Euler totient φ(n) | 18336 |
| Square | 3028521024 |
| Cube | 166665568992768 |
| Square root | 234.589002 (= 2√13758) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5032 × |
55032 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and thirty-two |
| Binary (base 2) | 1101011011111000 |
| Octal (base 8) | 153370 |
| Hexadecimal (base 16) | D6F8 |
| Base 3 | 2210111020 |
| As time | 55032 seconds = 15 h 17 min 12 s |
Is 55032 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55032 ÷ 2 = 27516) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55032 ÷ 3 = 18344) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55032 ÷ 4 = 13758) | 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 | Yes (55032 ÷ 6 = 9172) | 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 (55032 ÷ 8 = 6879) | 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 2) | 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 (55032 ÷ 12 = 4586) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55032 a prime number?
No. 55032 = × 3 × 2293, so it is divisible by 2.
What are the factors of 55032?
1, 2, 3, 4, 6, 8, 12, 24, 2293, 4586, 6879, 9172, 13758, 18344, 27516, 55032.
What is 55032 in binary?
1101011011111000 (hexadecimal D6F8, octal 153370).
What is the square root of 55032?
About 234.5890, exactly 2√13758.
Is 55032 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 55032?
It is a composite number with 16 divisors.