The number 84342
84342 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 14057. Divisors (8): 1, 2, 3, 6, 14057, 28114, 42171, 84342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84342: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
84342 is composite. Its prime factorisation is
- 3
The divisors add up to 168696; without 84342 itself that is 84354, so 84342 is abundant (84354 is more than 84342). Euler's totient φ(84342) = 28112 numbers up to 84342 share no factor with it.
- 4
The digits of 84342 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84342 = 2 \times 3 \times 14057 \]
84342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 168696 |
| Euler totient φ(n) | 28112 |
| Square | 7113572964 |
| Cube | 599972970929688 |
| Square root | 290.416942 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 81 |
| Scientific notation | 8.4342 × |
84342 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand three hundred and forty-two |
| Binary (base 2) | 10100100101110110 |
| Octal (base 8) | 244566 |
| Hexadecimal (base 16) | 14976 |
| Base 3 | 11021200210 |
| As time | 84342 seconds = 23 h 25 min 42 s |
Is 84342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84342 ÷ 2 = 42171) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84342 ÷ 3 = 28114) | 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 (84342 ÷ 6 = 14057) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 5) | 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 84342 a prime number?
No. 84342 = 2 × 3 × 14057, so it is divisible by 2.
What are the factors of 84342?
1, 2, 3, 6, 14057, 28114, 42171, 84342.
What is 84342 in binary?
10100100101110110 (hexadecimal 14976, octal 244566).
What is the square root of 84342?
About 290.4169.
Is 84342 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 84342?
84342 is a happy number: repeatedly adding the squares of its digits reaches 1.