The number 84020
84020 is a composite number with 12 divisors. Its prime factorisation is × 5 × 4201. Divisors (12): 1, 2, 4, 5, 10, 20, 4201, 8402, 16804, 21005, 42010, 84020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
84020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84020 is composite. Its prime factorisation is
- 3
The divisors add up to 176484; without 84020 itself that is 92464, so 84020 is abundant (92464 is more than 84020). Euler's totient φ(84020) = 33600 numbers up to 84020 share no factor with it.
- 4
The digits of 84020 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84020 = 2^{2} \times 5 \times 4201 \]84020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 176484 |
| Euler totient φ(n) | 33600 |
| Square | 7059360400 |
| Cube | 593127460808000 |
| Square root | 289.862036 (= 2√21005) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 32 |
| Scientific notation | 8.402 × |
84020 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and twenty |
| Binary (base 2) | 10100100000110100 |
| Octal (base 8) | 244064 |
| Hexadecimal (base 16) | 14834 |
| Base 3 | 11021020212 |
| As time | 84020 seconds = 23 h 20 min 20 s |
Is 84020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84020 ÷ 2 = 42010) | 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 | Yes (84020 ÷ 4 = 21005) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (84020 ÷ 5 = 16804) | 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 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 4) | 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 | Yes (84020 ÷ 10 = 8402) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84020 a prime number?
No. 84020 = × 5 × 4201, so it is divisible by 2.
What are the factors of 84020?
1, 2, 4, 5, 10, 20, 4201, 8402, 16804, 21005, 42010, 84020.
What is 84020 in binary?
10100100000110100 (hexadecimal 14834, octal 244064).
What is the square root of 84020?
About 289.8620, exactly 2√21005.
Is 84020 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 84020?
It is a composite number with 12 divisors.