The number 55632
55632 is a composite number with 40 divisors. Its prime factorisation is × 3 × 19 × 61. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 61, 76, 114 … 55632.
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How to work it out
- 1
55632 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55632 is composite. Its prime factorisation is
- 3
The divisors add up to 153760; without 55632 itself that is 98128, so 55632 is abundant (98128 is more than 55632). Euler's totient φ(55632) = 17280 numbers up to 55632 share no factor with it.
- 4
The digits of 55632 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55632 = 2^{4} \times 3 \times 19 \times 61 \]55632 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 153760 |
| Euler totient φ(n) | 17280 |
| Square | 3094919424 |
| Cube | 172176557395968 |
| Square root | 235.864368 (= 4√3477) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.5632 × |
55632 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and thirty-two |
| Binary (base 2) | 1101100101010000 |
| Octal (base 8) | 154520 |
| Hexadecimal (base 16) | D950 |
| Base 3 | 2211022110 |
| As time | 55632 seconds = 15 h 27 min 12 s |
Is 55632 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55632 ÷ 2 = 27816) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55632 ÷ 3 = 18544) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55632 ÷ 4 = 13908) | 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 (55632 ÷ 6 = 9272) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (55632 ÷ 8 = 6954) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55632 ÷ 12 = 4636) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55632 a prime number?
No. 55632 = × 3 × 19 × 61, so it is divisible by 2.
What are the factors of 55632?
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 61, 76, 114, 122, 152, 183, 228, 244, 304, 366, 456, 488, 732, 912, 976, 1159, 1464, 2318, 2928, 3477, 4636, 6954, 9272, 13908, 18544, 27816, 55632.
What is 55632 in binary?
1101100101010000 (hexadecimal D950, octal 154520).
What is the square root of 55632?
About 235.8644, exactly 4√3477.
Is 55632 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55632?
It is a composite number with 40 divisors.