The number 33300
33300 is a composite number with 54 divisors. Its prime factorisation is × × × 37. Divisors (54): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 37 … 33300.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33300: a Harshad number: divisible by its digit sum 9.
- 2
33300 is composite. Its prime factorisation is
- 3
The divisors add up to 107198; without 33300 itself that is 73898, so 33300 is abundant (73898 is more than 33300). Euler's totient φ(33300) = 8640 numbers up to 33300 share no factor with it.
- 4
The digits of 33300 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33300 = 2^{2} \times 3^{2} \times 5^{2} \times 37 \]33300 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 107198 |
| Euler totient φ(n) | 8640 |
| Square | 1108890000 |
| Cube | 36926037000000 |
| Square root | 182.482876 (= 30√37) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.33 × |
33300 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred |
| Binary (base 2) | 1000001000010100 |
| Octal (base 8) | 101024 |
| Hexadecimal (base 16) | 8214 |
| Base 3 | 1200200100 |
| As time | 33300 seconds = 9 h 15 min 0 s |
Is 33300 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33300 ÷ 2 = 16650) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33300 ÷ 3 = 11100) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33300 ÷ 4 = 8325) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33300 ÷ 5 = 6660) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33300 ÷ 6 = 5550) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33300 ÷ 9 = 3700) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33300 ÷ 10 = 3330) | 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 | Yes (33300 ÷ 12 = 2775) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33300 a prime number?
No. 33300 = × × × 37, so it is divisible by 2.
What are the factors of 33300?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 37, 45, 50, 60, 74, 75, 90, 100, 111, 148, 150, 180, 185, 222, 225, 300, 333, 370, 444, 450, 555, 666, 740, 900, 925, 1110, 1332, 1665, 1850, 2220, 2775, 3330, 3700, 5550, 6660, 8325, 11100, 16650, 33300.
What is 33300 in binary?
1000001000010100 (hexadecimal 8214, octal 101024).
What is the square root of 33300?
About 182.4829, exactly 30√37.
Is 33300 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 33300?
33300 is a Harshad number: divisible by its digit sum 9.