The number 6020
6020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 43. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215 … 6020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6020 is composite. Its prime factorisation is
- 3
The divisors add up to 14784; without 6020 itself that is 8764, so 6020 is abundant (8764 is more than 6020). Euler's totient φ(6020) = 2016 numbers up to 6020 share no factor with it.
- 4
The digits of 6020 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6020 = 2^{2} \times 5 \times 7 \times 43 \]6020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 14784 |
| Euler totient φ(n) | 2016 |
| Square | 36240400 |
| Cube | 218167208000 |
| Square root | 77.588659 (= 2√1505) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 41 |
| Scientific notation | 6.02 × |
6020 in other forms
| Form | Value |
|---|---|
| In words | six thousand and twenty |
| Binary (base 2) | 1011110000100 |
| Octal (base 8) | 13604 |
| Hexadecimal (base 16) | 1784 |
| Base 3 | 22020222 |
| As time | 6020 seconds = 1 h 40 min 20 s |
Is 6020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6020 ÷ 2 = 3010) | 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 (6020 ÷ 4 = 1505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6020 ÷ 5 = 1204) | 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 | Yes (6020 ÷ 7 = 860) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6020 ÷ 10 = 602) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6020 a prime number?
No. 6020 = × 5 × 7 × 43, so it is divisible by 2.
What are the factors of 6020?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020.
What is 6020 in binary?
1011110000100 (hexadecimal 1784, octal 13604).
What is the square root of 6020?
About 77.5887, exactly 2√1505.
Is 6020 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 6020?
It is a composite number with 24 divisors.