The number 33213
33213 is a composite number with 4 divisors. Its prime factorisation is 3 × 11071. Divisors (4): 1, 3, 11071, 33213.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33213: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 11071, the product of two primes.
- 2
33213 is composite. Its prime factorisation is
- 3
The divisors add up to 44288; without 33213 itself that is 11075, so 33213 is deficient (11075 is less than 33213). Euler's totient φ(33213) = 22140 numbers up to 33213 share no factor with it.
- 4
The digits of 33213 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33213 = 3 \times 11071 \]
33213 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 44288 |
| Euler totient φ(n) | 22140 |
| Square | 1103103369 |
| Cube | 36637372194597 |
| Square root | 182.244341 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3213 × |
33213 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and thirteen |
| Binary (base 2) | 1000000110111101 |
| Octal (base 8) | 100675 |
| Hexadecimal (base 16) | 81BD |
| Base 3 | 1200120010 |
| As time | 33213 seconds = 9 h 13 min 33 s |
Is 33213 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 | Yes (33213 ÷ 3 = 11071) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33213 a prime number?
No. 33213 = 3 × 11071, so it is divisible by 3.
What are the factors of 33213?
1, 3, 11071, 33213.
What is 33213 in binary?
1000000110111101 (hexadecimal 81BD, octal 100675).
What is the square root of 33213?
About 182.2443.
Is 33213 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33213?
33213 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 11071, the product of two primes.