The number 71842
71842 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 2113. Divisors (8): 1, 2, 17, 34, 2113, 4226, 35921, 71842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71842 is composite. Its prime factorisation is
- 3
The divisors add up to 114156; without 71842 itself that is 42314, so 71842 is deficient (42314 is less than 71842). Euler's totient φ(71842) = 33792 numbers up to 71842 share no factor with it.
- 4
The digits of 71842 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71842 = 2 \times 17 \times 2113 \]
71842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 114156 |
| Euler totient φ(n) | 33792 |
| Square | 5161272964 |
| Cube | 370796172279688 |
| Square root | 268.033580 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.1842 × |
71842 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand eight hundred and forty-two |
| Binary (base 2) | 10001100010100010 |
| Octal (base 8) | 214242 |
| Hexadecimal (base 16) | 118A2 |
| Base 3 | 10122112211 |
| As time | 71842 seconds = 19 h 57 min 22 s |
Is 71842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71842 ÷ 2 = 35921) | 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 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 | No (remainder 4) | 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 1) | 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 71842 a prime number?
No. 71842 = 2 × 17 × 2113, so it is divisible by 2.
What are the factors of 71842?
1, 2, 17, 34, 2113, 4226, 35921, 71842.
What is 71842 in binary?
10001100010100010 (hexadecimal 118A2, octal 214242).
What is the square root of 71842?
About 268.0336.
Is 71842 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 71842?
It is a composite number with 8 divisors.