The number 33413
33413 is the 3579th prime number. Its only divisors are 1 and 33413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33413: the 3579th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33413 is prime, so its only factors are 1 and 33413. It is the 3579th prime; the next prime is 33427 and the one before is 33409.
- 3
The divisors add up to 33414; without 33413 itself that is 1, so 33413 is deficient (1 is less than 33413). Euler's totient φ(33413) = 33412 numbers up to 33413 share no factor with it.
- 4
The digits of 33413 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 90 steps to reach 1.
33413 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33414 |
| Euler totient φ(n) | 33412 |
| Square | 1116428569 |
| Cube | 37303227775997 |
| Square root | 182.792232 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 90 |
| Scientific notation | 3.3413 × |
33413 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and thirteen |
| Binary (base 2) | 1000001010000101 |
| Octal (base 8) | 101205 |
| Hexadecimal (base 16) | 8285 |
| Base 3 | 1200211112 |
| As time | 33413 seconds = 9 h 16 min 53 s |
Is 33413 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 3) | 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 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 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 33413 a prime number?
Yes. 33413 is divisible only by 1 and itself.
What are the factors of 33413?
1, 33413.
What is 33413 in binary?
1000001010000101 (hexadecimal 8285, octal 101205).
What is the square root of 33413?
About 182.7922.
Is 33413 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33413?
33413 is the 3579th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.