The number 3021
3021 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 53. Divisors (8): 1, 3, 19, 53, 57, 159, 1007, 3021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3021 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3021 is composite. Its prime factorisation is
- 3
The divisors add up to 4320; without 3021 itself that is 1299, so 3021 is deficient (1299 is less than 3021). Euler's totient φ(3021) = 1872 numbers up to 3021 share no factor with it.
- 4
The digits of 3021 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3021 = 3 \times 19 \times 53 \]
3021 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4320 |
| Euler totient φ(n) | 1872 |
| Square | 9126441 |
| Cube | 27570978261 |
| Square root | 54.963624 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 3.021 × |
3021 in other forms
| Form | Value |
|---|---|
| In words | three thousand and twenty-one |
| Roman numerals | MMMXXI |
| Binary (base 2) | 101111001101 |
| Octal (base 8) | 5715 |
| Hexadecimal (base 16) | BCD |
| Base 3 | 11010220 |
| As time | 3021 seconds = 50 min 21 s |
Is 3021 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 (3021 ÷ 3 = 1007) | 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 4) | 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 | No (remainder 6) | 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 7) | 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 3021 a prime number?
No. 3021 = 3 × 19 × 53, so it is divisible by 3.
What are the factors of 3021?
1, 3, 19, 53, 57, 159, 1007, 3021.
What is 3021 in binary?
101111001101 (hexadecimal BCD, octal 5715).
What is the square root of 3021?
About 54.9636.
What is 3021 in Roman numerals?
MMMXXI.
Is 3021 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 3021?
It is a composite number with 8 divisors.