The number 6021
6021 is a composite number with 8 divisors. Its prime factorisation is × 223. Divisors (8): 1, 3, 9, 27, 223, 669, 2007, 6021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6021: a Harshad number: divisible by its digit sum 9.
- 2
6021 is composite. Its prime factorisation is
- 3
The divisors add up to 8960; without 6021 itself that is 2939, so 6021 is deficient (2939 is less than 6021). Euler's totient φ(6021) = 3996 numbers up to 6021 share no factor with it.
- 4
The digits of 6021 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6021 = 3^{3} \times 223 \]6021 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8960 |
| Euler totient φ(n) | 3996 |
| Square | 36252441 |
| Cube | 218275947261 |
| Square root | 77.595103 (= 3√669) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 41 |
| Scientific notation | 6.021 × |
6021 in other forms
| Form | Value |
|---|---|
| In words | six thousand and twenty-one |
| Binary (base 2) | 1011110000101 |
| Octal (base 8) | 13605 |
| Hexadecimal (base 16) | 1785 |
| Base 3 | 22021000 |
| As time | 6021 seconds = 1 h 40 min 21 s |
Is 6021 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6021 ÷ 3 = 2007) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6021 ÷ 9 = 669) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6021 a prime number?
No. 6021 = × 223, so it is divisible by 3.
What are the factors of 6021?
1, 3, 9, 27, 223, 669, 2007, 6021.
What is 6021 in binary?
1011110000101 (hexadecimal 1785, octal 13605).
What is the square root of 6021?
About 77.5951, exactly 3√669.
Is 6021 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 6021?
6021 is a Harshad number: divisible by its digit sum 9.