The number 55842
55842 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 41 × 227. Divisors (16): 1, 2, 3, 6, 41, 82, 123, 227, 246, 454, 681, 1362, 9307, 18614, 27921, 55842.
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How to work it out
- 1
55842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55842 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 55842 itself that is 59070, so 55842 is abundant (59070 is more than 55842). Euler's totient φ(55842) = 18080 numbers up to 55842 share no factor with it.
- 4
The digits of 55842 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55842 = 2 \times 3 \times 41 \times 227 \]
55842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 18080 |
| Square | 3118328964 |
| Cube | 174133726007688 |
| Square root | 236.309120 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5842 × |
55842 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and forty-two |
| Binary (base 2) | 1101101000100010 |
| Octal (base 8) | 155042 |
| Hexadecimal (base 16) | DA22 |
| Base 3 | 2211121020 |
| As time | 55842 seconds = 15 h 30 min 42 s |
Is 55842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55842 ÷ 2 = 27921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55842 ÷ 3 = 18614) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (55842 ÷ 6 = 9307) | 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 | No (remainder 2) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55842 a prime number?
No. 55842 = 2 × 3 × 41 × 227, so it is divisible by 2.
What are the factors of 55842?
1, 2, 3, 6, 41, 82, 123, 227, 246, 454, 681, 1362, 9307, 18614, 27921, 55842.
What is 55842 in binary?
1101101000100010 (hexadecimal DA22, octal 155042).
What is the square root of 55842?
About 236.3091.
Is 55842 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55842?
It is a composite number with 16 divisors.