The number 33321
33321 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 383. Divisors (8): 1, 3, 29, 87, 383, 1149, 11107, 33321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33321: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33321 is composite. Its prime factorisation is
- 3
The divisors add up to 46080; without 33321 itself that is 12759, so 33321 is deficient (12759 is less than 33321). Euler's totient φ(33321) = 21392 numbers up to 33321 share no factor with it.
- 4
The digits of 33321 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33321 = 3 \times 29 \times 383 \]
33321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46080 |
| Euler totient φ(n) | 21392 |
| Square | 1110289041 |
| Cube | 36995941135161 |
| Square root | 182.540406 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 90 |
| Scientific notation | 3.3321 × |
33321 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and twenty-one |
| Binary (base 2) | 1000001000101001 |
| Octal (base 8) | 101051 |
| Hexadecimal (base 16) | 8229 |
| Base 3 | 1200201010 |
| As time | 33321 seconds = 9 h 15 min 21 s |
Is 33321 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 (33321 ÷ 3 = 11107) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | 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 33321 a prime number?
No. 33321 = 3 × 29 × 383, so it is divisible by 3.
What are the factors of 33321?
1, 3, 29, 87, 383, 1149, 11107, 33321.
What is 33321 in binary?
1000001000101001 (hexadecimal 8229, octal 101051).
What is the square root of 33321?
About 182.5404.
Is 33321 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33321?
33321 is a happy number: repeatedly adding the squares of its digits reaches 1.