The number 32020
32020 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1601. Divisors (12): 1, 2, 4, 5, 10, 20, 1601, 3202, 6404, 8005, 16010, 32020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32020 is composite. Its prime factorisation is
- 3
The divisors add up to 67284; without 32020 itself that is 35264, so 32020 is abundant (35264 is more than 32020). Euler's totient φ(32020) = 12800 numbers up to 32020 share no factor with it.
- 4
The digits of 32020 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32020 = 2^{2} \times 5 \times 1601 \]32020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 67284 |
| Euler totient φ(n) | 12800 |
| Square | 1025280400 |
| Cube | 32829478408000 |
| Square root | 178.941331 (= 2√8005) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.202 × |
32020 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and twenty |
| Binary (base 2) | 111110100010100 |
| Octal (base 8) | 76424 |
| Hexadecimal (base 16) | 7D14 |
| Base 3 | 1121220221 |
| As time | 32020 seconds = 8 h 53 min 40 s |
Is 32020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32020 ÷ 2 = 16010) | 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 (32020 ÷ 4 = 8005) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32020 ÷ 5 = 6404) | 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 2) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32020 ÷ 10 = 3202) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 32020 a prime number?
No. 32020 = × 5 × 1601, so it is divisible by 2.
What are the factors of 32020?
1, 2, 4, 5, 10, 20, 1601, 3202, 6404, 8005, 16010, 32020.
What is 32020 in binary?
111110100010100 (hexadecimal 7D14, octal 76424).
What is the square root of 32020?
About 178.9413, exactly 2√8005.
Is 32020 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 32020?
It is a composite number with 12 divisors.