The number 33921
33921 is a composite number with 6 divisors. Its prime factorisation is × 3769. Divisors (6): 1, 3, 9, 3769, 11307, 33921.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33921 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33921 is composite. Its prime factorisation is
- 3
The divisors add up to 49010; without 33921 itself that is 15089, so 33921 is deficient (15089 is less than 33921). Euler's totient φ(33921) = 22608 numbers up to 33921 share no factor with it.
- 4
The digits of 33921 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33921 = 3^{2} \times 3769 \]33921 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 49010 |
| Euler totient φ(n) | 22608 |
| Square | 1150634241 |
| Cube | 39030664088961 |
| Square root | 184.176546 (= 3√3769) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3921 × |
33921 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and twenty-one |
| Binary (base 2) | 1000010010000001 |
| Octal (base 8) | 102201 |
| Hexadecimal (base 16) | 8481 |
| Base 3 | 1201112100 |
| As time | 33921 seconds = 9 h 25 min 21 s |
Is 33921 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 (33921 ÷ 3 = 11307) | 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 6) | 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 | Yes (33921 ÷ 9 = 3769) | 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 8) | 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 33921 a prime number?
No. 33921 = × 3769, so it is divisible by 3.
What are the factors of 33921?
1, 3, 9, 3769, 11307, 33921.
What is 33921 in binary?
1000010010000001 (hexadecimal 8481, octal 102201).
What is the square root of 33921?
About 184.1765, exactly 3√3769.
Is 33921 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33921?
It is a composite number with 6 divisors.