The number 33521
33521 is the 3588th prime number. Its only divisors are 1 and 33521.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33521: the 3588th prime number.
- 2
33521 is prime, so its only factors are 1 and 33521. It is the 3588th prime; the next prime is 33529 and the one before is 33503.
- 3
The divisors add up to 33522; without 33521 itself that is 1, so 33521 is deficient (1 is less than 33521). Euler's totient φ(33521) = 33520 numbers up to 33521 share no factor with it.
- 4
The digits of 33521 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
33521 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33522 |
| Euler totient φ(n) | 33520 |
| Square | 1123657441 |
| Cube | 37666121079761 |
| Square root | 183.087411 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3521 × |
33521 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and twenty-one |
| Binary (base 2) | 1000001011110001 |
| Octal (base 8) | 101361 |
| Hexadecimal (base 16) | 82F1 |
| Base 3 | 1200222112 |
| As time | 33521 seconds = 9 h 18 min 41 s |
Is 33521 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 5) | 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 5) | 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 4) | 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 33521 a prime number?
Yes. 33521 is divisible only by 1 and itself.
What are the factors of 33521?
1, 33521.
What is 33521 in binary?
1000001011110001 (hexadecimal 82F1, octal 101361).
What is the square root of 33521?
About 183.0874.
Is 33521 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33521?
33521 is the 3588th prime number.