The number 55832
55832 is a composite number with 16 divisors. Its prime factorisation is × 7 × 997. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 997, 1994, 3988, 6979, 7976, 13958, 27916, 55832.
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How to work it out
- 1
55832 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55832 is composite. Its prime factorisation is
- 3
The divisors add up to 119760; without 55832 itself that is 63928, so 55832 is abundant (63928 is more than 55832). Euler's totient φ(55832) = 23904 numbers up to 55832 share no factor with it.
- 4
The digits of 55832 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55832 = 2^{3} \times 7 \times 997 \]55832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 119760 |
| Euler totient φ(n) | 23904 |
| Square | 3117212224 |
| Cube | 174040192890368 |
| Square root | 236.287960 (= 2√13958) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5832 × |
55832 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and thirty-two |
| Binary (base 2) | 1101101000011000 |
| Octal (base 8) | 155030 |
| Hexadecimal (base 16) | DA18 |
| Base 3 | 2211120212 |
| As time | 55832 seconds = 15 h 30 min 32 s |
Is 55832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55832 ÷ 2 = 27916) | 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 (55832 ÷ 4 = 13958) | 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 | Yes (55832 ÷ 7 = 7976) | 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 (55832 ÷ 8 = 6979) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | 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 55832 a prime number?
No. 55832 = × 7 × 997, so it is divisible by 2.
What are the factors of 55832?
1, 2, 4, 7, 8, 14, 28, 56, 997, 1994, 3988, 6979, 7976, 13958, 27916, 55832.
What is 55832 in binary?
1101101000011000 (hexadecimal DA18, octal 155030).
What is the square root of 55832?
About 236.2880, exactly 2√13958.
Is 55832 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55832?
It is a composite number with 16 divisors.