The number 2020
2020 is a composite number with 12 divisors. Its prime factorisation is × 5 × 101. Divisors (12): 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2020: a Harshad number: divisible by its digit sum 4.
- 2
2020 is composite. Its prime factorisation is
- 3
The divisors add up to 4284; without 2020 itself that is 2264, so 2020 is abundant (2264 is more than 2020). Euler's totient φ(2020) = 800 numbers up to 2020 share no factor with it.
- 4
The digits of 2020 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2020 = 2^{2} \times 5 \times 101 \]2020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 4284 |
| Euler totient φ(n) | 800 |
| Square | 4080400 |
| Cube | 8242408000 |
| Square root | 44.944410 (= 2√505) |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 2.02 × |
2020 in other forms
| Form | Value |
|---|---|
| In words | two thousand and twenty |
| Roman numerals | MMXX |
| Binary (base 2) | 11111100100 |
| Octal (base 8) | 3744 |
| Hexadecimal (base 16) | 7E4 |
| Base 3 | 2202211 |
| As time | 2020 seconds = 33 min 40 s |
Is 2020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2020 ÷ 2 = 1010) | 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 (2020 ÷ 4 = 505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2020 ÷ 5 = 404) | 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 | 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 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 (2020 ÷ 10 = 202) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2020 a prime number?
No. 2020 = × 5 × 101, so it is divisible by 2.
What are the factors of 2020?
1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020.
What is 2020 in binary?
11111100100 (hexadecimal 7E4, octal 3744).
What is the square root of 2020?
About 44.9444, exactly 2√505.
What is 2020 in Roman numerals?
MMXX.
Is 2020 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 2020?
2020 is a Harshad number: divisible by its digit sum 4.