The number 90842
90842 is a composite number with 8 divisors. Its prime factorisation is 2 × 53 × 857. Divisors (8): 1, 2, 53, 106, 857, 1714, 45421, 90842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90842 is composite. Its prime factorisation is
- 3
The divisors add up to 138996; without 90842 itself that is 48154, so 90842 is deficient (48154 is less than 90842). Euler's totient φ(90842) = 44512 numbers up to 90842 share no factor with it.
- 4
The digits of 90842 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90842 = 2 \times 53 \times 857 \]
90842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 138996 |
| Euler totient φ(n) | 44512 |
| Square | 8252268964 |
| Cube | 749652617227688 |
| Square root | 301.400066 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 164 |
| Scientific notation | 9.0842 × |
90842 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand eight hundred and forty-two |
| Binary (base 2) | 10110001011011010 |
| Octal (base 8) | 261332 |
| Hexadecimal (base 16) | 162DA |
| Base 3 | 11121121112 |
| As time | 90842 seconds = 25 h 14 min 2 s |
Is 90842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90842 ÷ 2 = 45421) | 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 | 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 | No (remainder 2) | 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 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90842 a prime number?
No. 90842 = 2 × 53 × 857, so it is divisible by 2.
What are the factors of 90842?
1, 2, 53, 106, 857, 1714, 45421, 90842.
What is 90842 in binary?
10110001011011010 (hexadecimal 162DA, octal 261332).
What is the square root of 90842?
About 301.4001.
Is 90842 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 90842?
It is a composite number with 8 divisors.