The number 33409
33409 is the 3578th prime number. Its only divisors are 1 and 33409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33409: the 3578th prime number.
- 2
33409 is prime, so its only factors are 1 and 33409. It is the 3578th prime; the next prime is 33413 and the one before is 33403.
- 3
The divisors add up to 33410; without 33409 itself that is 1, so 33409 is deficient (1 is less than 33409). Euler's totient φ(33409) = 33408 numbers up to 33409 share no factor with it.
- 4
The digits of 33409 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
33409 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33410 |
| Euler totient φ(n) | 33408 |
| Square | 1116161281 |
| Cube | 37289832236929 |
| Square root | 182.781290 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3409 × |
33409 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and nine |
| Binary (base 2) | 1000001010000001 |
| Octal (base 8) | 101201 |
| Hexadecimal (base 16) | 8281 |
| Base 3 | 1200211101 |
| As time | 33409 seconds = 9 h 16 min 49 s |
Is 33409 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 1) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33409 a prime number?
Yes. 33409 is divisible only by 1 and itself.
What are the factors of 33409?
1, 33409.
What is 33409 in binary?
1000001010000001 (hexadecimal 8281, octal 101201).
What is the square root of 33409?
About 182.7813.
Is 33409 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33409?
33409 is the 3578th prime number.