The number 82742
82742 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 3761. Divisors (8): 1, 2, 11, 22, 3761, 7522, 41371, 82742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82742 is composite. Its prime factorisation is
- 3
The divisors add up to 135432; without 82742 itself that is 52690, so 82742 is deficient (52690 is less than 82742). Euler's totient φ(82742) = 37600 numbers up to 82742 share no factor with it.
- 4
The digits of 82742 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82742 = 2 \times 11 \times 3761 \]
82742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 135432 |
| Euler totient φ(n) | 37600 |
| Square | 6846238564 |
| Cube | 566471471262488 |
| Square root | 287.649092 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.2742 × |
82742 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand seven hundred and forty-two |
| Binary (base 2) | 10100001100110110 |
| Octal (base 8) | 241466 |
| Hexadecimal (base 16) | 14336 |
| Base 3 | 11012111112 |
| As time | 82742 seconds = 22 h 59 min 2 s |
Is 82742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82742 ÷ 2 = 41371) | 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 2) | 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 6) | 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 | Yes (82742 ÷ 11 = 7522) | 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 82742 a prime number?
No. 82742 = 2 × 11 × 3761, so it is divisible by 2.
What are the factors of 82742?
1, 2, 11, 22, 3761, 7522, 41371, 82742.
What is 82742 in binary?
10100001100110110 (hexadecimal 14336, octal 241466).
What is the square root of 82742?
About 287.6491.
Is 82742 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 82742?
It is a composite number with 8 divisors.