The number 33113
33113 is the 3550th prime number. Its only divisors are 1 and 33113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33113: the 3550th prime number.
- 2
33113 is prime, so its only factors are 1 and 33113. It is the 3550th prime; the next prime is 33119 and the one before is 33107.
- 3
The divisors add up to 33114; without 33113 itself that is 1, so 33113 is deficient (1 is less than 33113). Euler's totient φ(33113) = 33112 numbers up to 33113 share no factor with it.
- 4
The digits of 33113 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
33113 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33114 |
| Euler totient φ(n) | 33112 |
| Square | 1096470769 |
| Cube | 36307436573897 |
| Square root | 181.969778 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3113 × |
33113 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and thirteen |
| Binary (base 2) | 1000000101011001 |
| Octal (base 8) | 100531 |
| Hexadecimal (base 16) | 8159 |
| Base 3 | 1200102102 |
| As time | 33113 seconds = 9 h 11 min 53 s |
Is 33113 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 3) | 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 2) | 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 3) | 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 33113 a prime number?
Yes. 33113 is divisible only by 1 and itself.
What are the factors of 33113?
1, 33113.
What is 33113 in binary?
1000000101011001 (hexadecimal 8159, octal 100531).
What is the square root of 33113?
About 181.9698.
Is 33113 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 33113?
33113 is the 3550th prime number.