The number 33223
33223 is the 3561st prime number. Its only divisors are 1 and 33223.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33223: the 3561st prime number.
- 2
33223 is prime, so its only factors are 1 and 33223. It is the 3561st prime; the next prime is 33247 and the one before is 33211.
- 3
The divisors add up to 33224; without 33223 itself that is 1, so 33223 is deficient (1 is less than 33223). Euler's totient φ(33223) = 33222 numbers up to 33223 share no factor with it.
- 4
The digits of 33223 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
33223 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33224 |
| Euler totient φ(n) | 33222 |
| Square | 1103767729 |
| Cube | 36670475260567 |
| Square root | 182.271775 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3223 × |
33223 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and twenty-three |
| Binary (base 2) | 1000000111000111 |
| Octal (base 8) | 100707 |
| Hexadecimal (base 16) | 81C7 |
| Base 3 | 1200120111 |
| As time | 33223 seconds = 9 h 13 min 43 s |
Is 33223 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33223 a prime number?
Yes. 33223 is divisible only by 1 and itself.
What are the factors of 33223?
1, 33223.
What is 33223 in binary?
1000000111000111 (hexadecimal 81C7, octal 100707).
What is the square root of 33223?
About 182.2718.
Is 33223 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33223?
33223 is the 3561st prime number.