The number 83020
83020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 593. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 593, 1186, 2372, 2965 … 83020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83020 is composite. Its prime factorisation is
- 3
The divisors add up to 199584; without 83020 itself that is 116564, so 83020 is abundant (116564 is more than 83020). Euler's totient φ(83020) = 28416 numbers up to 83020 share no factor with it.
- 4
The digits of 83020 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83020 = 2^{2} \times 5 \times 7 \times 593 \]83020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 199584 |
| Euler totient φ(n) | 28416 |
| Square | 6892320400 |
| Cube | 572200439608000 |
| Square root | 288.131914 (= 2√20755) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.302 × |
83020 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and twenty |
| Binary (base 2) | 10100010001001100 |
| Octal (base 8) | 242114 |
| Hexadecimal (base 16) | 1444C |
| Base 3 | 11012212211 |
| As time | 83020 seconds = 23 h 3 min 40 s |
Is 83020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83020 ÷ 2 = 41510) | 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 | Yes (83020 ÷ 4 = 20755) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83020 ÷ 5 = 16604) | 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 | Yes (83020 ÷ 7 = 11860) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (83020 ÷ 10 = 8302) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83020 a prime number?
No. 83020 = × 5 × 7 × 593, so it is divisible by 2.
What are the factors of 83020?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 593, 1186, 2372, 2965, 4151, 5930, 8302, 11860, 16604, 20755, 41510, 83020.
What is 83020 in binary?
10100010001001100 (hexadecimal 1444C, octal 242114).
What is the square root of 83020?
About 288.1319, exactly 2√20755.
Is 83020 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 83020?
It is a composite number with 24 divisors.