The number 33021
33021 is a composite number with 8 divisors. Its prime factorisation is × 1223. Divisors (8): 1, 3, 9, 27, 1223, 3669, 11007, 33021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33021: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
33021 is composite. Its prime factorisation is
- 3
The divisors add up to 48960; without 33021 itself that is 15939, so 33021 is deficient (15939 is less than 33021). Euler's totient φ(33021) = 21996 numbers up to 33021 share no factor with it.
- 4
The digits of 33021 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33021 = 3^{3} \times 1223 \]33021 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 48960 |
| Euler totient φ(n) | 21996 |
| Square | 1090386441 |
| Cube | 36005650668261 |
| Square root | 181.716813 (= 3√3669) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.3021 × |
33021 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and twenty-one |
| Binary (base 2) | 1000000011111101 |
| Octal (base 8) | 100375 |
| Hexadecimal (base 16) | 80FD |
| Base 3 | 1200022000 |
| As time | 33021 seconds = 9 h 10 min 21 s |
Is 33021 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 (33021 ÷ 3 = 11007) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33021 ÷ 9 = 3669) | 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 10) | 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 33021 a prime number?
No. 33021 = × 1223, so it is divisible by 3.
What are the factors of 33021?
1, 3, 9, 27, 1223, 3669, 11007, 33021.
What is 33021 in binary?
1000000011111101 (hexadecimal 80FD, octal 100375).
What is the square root of 33021?
About 181.7168, exactly 3√3669.
Is 33021 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 33021?
33021 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.