The number 32021
32021 is a composite number with 8 divisors. Its prime factorisation is 11 × 41 × 71. Divisors (8): 1, 11, 41, 71, 451, 781, 2911, 32021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32021 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32021 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 32021 itself that is 4267, so 32021 is deficient (4267 is less than 32021). Euler's totient φ(32021) = 28000 numbers up to 32021 share no factor with it.
- 4
The digits of 32021 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32021 = 11 \times 41 \times 71 \]
32021 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 28000 |
| Square | 1025344441 |
| Cube | 32832554345261 |
| Square root | 178.944125 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.2021 × |
32021 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and twenty-one |
| Binary (base 2) | 111110100010101 |
| Octal (base 8) | 76425 |
| Hexadecimal (base 16) | 7D15 |
| Base 3 | 1121220222 |
| As time | 32021 seconds = 8 h 53 min 41 s |
Is 32021 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 | No (remainder 2) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (32021 ÷ 11 = 2911) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32021 a prime number?
No. 32021 = 11 × 41 × 71, so it is divisible by 11.
What are the factors of 32021?
1, 11, 41, 71, 451, 781, 2911, 32021.
What is 32021 in binary?
111110100010101 (hexadecimal 7D15, octal 76425).
What is the square root of 32021?
About 178.9441.
Is 32021 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 32021?
It is a composite number with 8 divisors.