The number 85842
85842 is a composite number with 24 divisors. Its prime factorisation is 2 × × 19 × 251. Divisors (24): 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 251, 342, 502, 753, 1506 … 85842.
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How to work it out
- 1
85842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
85842 is composite. Its prime factorisation is
- 3
The divisors add up to 196560; without 85842 itself that is 110718, so 85842 is abundant (110718 is more than 85842). Euler's totient φ(85842) = 27000 numbers up to 85842 share no factor with it.
- 4
The digits of 85842 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 85842 = 2 \times 3^{2} \times 19 \times 251 \]85842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 196560 |
| Euler totient φ(n) | 27000 |
| Square | 7368848964 |
| Cube | 632556732767688 |
| Square root | 292.988054 (= 3√9538) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.5842 × |
85842 in other forms
| Form | Value |
|---|---|
| In words | eighty-five thousand eight hundred and forty-two |
| Binary (base 2) | 10100111101010010 |
| Octal (base 8) | 247522 |
| Hexadecimal (base 16) | 14F52 |
| Base 3 | 11100202100 |
| As time | 85842 seconds = 23 h 50 min 42 s |
Is 85842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (85842 ÷ 2 = 42921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (85842 ÷ 3 = 28614) | 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 (85842 ÷ 6 = 14307) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (85842 ÷ 9 = 9538) | 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 9) | 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 85842 a prime number?
No. 85842 = 2 × × 19 × 251, so it is divisible by 2.
What are the factors of 85842?
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 251, 342, 502, 753, 1506, 2259, 4518, 4769, 9538, 14307, 28614, 42921, 85842.
What is 85842 in binary?
10100111101010010 (hexadecimal 14F52, octal 247522).
What is the square root of 85842?
About 292.9881, exactly 3√9538.
Is 85842 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 85842?
It is a composite number with 24 divisors.