The number 3020
3020 is a composite number with 12 divisors. Its prime factorisation is × 5 × 151. Divisors (12): 1, 2, 4, 5, 10, 20, 151, 302, 604, 755, 1510, 3020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3020: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 5.
- 2
3020 is composite. Its prime factorisation is
- 3
The divisors add up to 6384; without 3020 itself that is 3364, so 3020 is abundant (3364 is more than 3020). Euler's totient φ(3020) = 1200 numbers up to 3020 share no factor with it.
- 4
The digits of 3020 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3020 = 2^{2} \times 5 \times 151 \]3020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6384 |
| Euler totient φ(n) | 1200 |
| Square | 9120400 |
| Cube | 27543608000 |
| Square root | 54.954527 (= 2√755) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 3.02 × |
3020 in other forms
| Form | Value |
|---|---|
| In words | three thousand and twenty |
| Roman numerals | MMMXX |
| Binary (base 2) | 101111001100 |
| Octal (base 8) | 5714 |
| Hexadecimal (base 16) | BCC |
| Base 3 | 11010212 |
| As time | 3020 seconds = 50 min 20 s |
Is 3020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3020 ÷ 2 = 1510) | 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 (3020 ÷ 4 = 755) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3020 ÷ 5 = 604) | 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 3) | 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 (3020 ÷ 10 = 302) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 3020 a prime number?
No. 3020 = × 5 × 151, so it is divisible by 2.
What are the factors of 3020?
1, 2, 4, 5, 10, 20, 151, 302, 604, 755, 1510, 3020.
What is 3020 in binary?
101111001100 (hexadecimal BCC, octal 5714).
What is the square root of 3020?
About 54.9545, exactly 2√755.
What is 3020 in Roman numerals?
MMMXX.
Is 3020 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 3020?
3020 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 5.