The number 83842
83842 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 37 × 103. Divisors (16): 1, 2, 11, 22, 37, 74, 103, 206, 407, 814, 1133, 2266, 3811, 7622, 41921, 83842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83842 is composite. Its prime factorisation is
- 3
The divisors add up to 142272; without 83842 itself that is 58430, so 83842 is deficient (58430 is less than 83842). Euler's totient φ(83842) = 36720 numbers up to 83842 share no factor with it.
- 4
The digits of 83842 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83842 = 2 \times 11 \times 37 \times 103 \]
83842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 142272 |
| Euler totient φ(n) | 36720 |
| Square | 7029480964 |
| Cube | 589365742983688 |
| Square root | 289.554831 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3842 × |
83842 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand eight hundred and forty-two |
| Binary (base 2) | 10100011110000010 |
| Octal (base 8) | 243602 |
| Hexadecimal (base 16) | 14782 |
| Base 3 | 11021000021 |
| As time | 83842 seconds = 23 h 17 min 22 s |
Is 83842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83842 ÷ 2 = 41921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | 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 7) | 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 | Yes (83842 ÷ 11 = 7622) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83842 a prime number?
No. 83842 = 2 × 11 × 37 × 103, so it is divisible by 2.
What are the factors of 83842?
1, 2, 11, 22, 37, 74, 103, 206, 407, 814, 1133, 2266, 3811, 7622, 41921, 83842.
What is 83842 in binary?
10100011110000010 (hexadecimal 14782, octal 243602).
What is the square root of 83842?
About 289.5548.
Is 83842 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 83842?
It is a composite number with 16 divisors.