The number 3300
3300 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 11. Divisors (36): 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44 … 3300.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3300: a Harshad number: divisible by its digit sum 6.
- 2
3300 is composite. Its prime factorisation is
- 3
The divisors add up to 10416; without 3300 itself that is 7116, so 3300 is abundant (7116 is more than 3300). Euler's totient φ(3300) = 800 numbers up to 3300 share no factor with it.
- 4
The digits of 3300 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3300 = 2^{2} \times 3 \times 5^{2} \times 11 \]3300 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 10416 |
| Euler totient φ(n) | 800 |
| Square | 10890000 |
| Cube | 35937000000 |
| Square root | 57.445626 (= 10√33) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.3 × |
3300 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred |
| Roman numerals | MMMCCC |
| Binary (base 2) | 110011100100 |
| Octal (base 8) | 6344 |
| Hexadecimal (base 16) | CE4 |
| Base 3 | 11112020 |
| As time | 3300 seconds = 55 min 0 s |
Is 3300 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3300 ÷ 2 = 1650) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3300 ÷ 3 = 1100) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3300 ÷ 4 = 825) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3300 ÷ 5 = 660) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (3300 ÷ 6 = 550) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3300 ÷ 10 = 330) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3300 ÷ 11 = 300) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3300 ÷ 12 = 275) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3300 a prime number?
No. 3300 = × 3 × × 11, so it is divisible by 2.
What are the factors of 3300?
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300.
What is 3300 in binary?
110011100100 (hexadecimal CE4, octal 6344).
What is the square root of 3300?
About 57.4456, exactly 10√33.
What is 3300 in Roman numerals?
MMMCCC.
Is 3300 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 3300?
3300 is a Harshad number: divisible by its digit sum 6.