The number 33013
33013 is the 3539th prime number. Its only divisors are 1 and 33013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33013: the 3539th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33013 is prime, so its only factors are 1 and 33013. It is the 3539th prime; the next prime is 33023 and the one before is 32999.
- 3
The divisors add up to 33014; without 33013 itself that is 1, so 33013 is deficient (1 is less than 33013). Euler's totient φ(33013) = 33012 numbers up to 33013 share no factor with it.
- 4
The digits of 33013 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
33013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33014 |
| Euler totient φ(n) | 33012 |
| Square | 1089858169 |
| Cube | 35979487733197 |
| Square root | 181.694799 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3013 × |
33013 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and thirteen |
| Binary (base 2) | 1000000011110101 |
| Octal (base 8) | 100365 |
| Hexadecimal (base 16) | 80F5 |
| Base 3 | 1200021201 |
| As time | 33013 seconds = 9 h 10 min 13 s |
Is 33013 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 3) | 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 1) | 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 1) | 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 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 33013 a prime number?
Yes. 33013 is divisible only by 1 and itself.
What are the factors of 33013?
1, 33013.
What is 33013 in binary?
1000000011110101 (hexadecimal 80F5, octal 100365).
What is the square root of 33013?
About 181.6948.
Is 33013 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 33013?
33013 is the 3539th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.