The number 33390
33390 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 7 × 53. Divisors (48): 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45 … 33390.
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How to work it out
- 1
What is special about 33390: a Harshad number: divisible by its digit sum 18.
- 2
33390 is composite. Its prime factorisation is
- 3
The divisors add up to 101088; without 33390 itself that is 67698, so 33390 is abundant (67698 is more than 33390). Euler's totient φ(33390) = 7488 numbers up to 33390 share no factor with it.
- 4
The digits of 33390 add up to 18, 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
\[ 33390 = 2 \times 3^{2} \times 5 \times 7 \times 53 \]33390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 101088 |
| Euler totient φ(n) | 7488 |
| Square | 1114892100 |
| Cube | 37226247219000 |
| Square root | 182.729308 (= 3√3710) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.339 × |
33390 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and ninety |
| Binary (base 2) | 1000001001101110 |
| Octal (base 8) | 101156 |
| Hexadecimal (base 16) | 826E |
| Base 3 | 1200210200 |
| As time | 33390 seconds = 9 h 16 min 30 s |
Is 33390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33390 ÷ 2 = 16695) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33390 ÷ 3 = 11130) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33390 ÷ 5 = 6678) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33390 ÷ 6 = 5565) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33390 ÷ 7 = 4770) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33390 ÷ 9 = 3710) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33390 ÷ 10 = 3339) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33390 a prime number?
No. 33390 = 2 × × 5 × 7 × 53, so it is divisible by 2.
What are the factors of 33390?
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 53, 63, 70, 90, 105, 106, 126, 159, 210, 265, 315, 318, 371, 477, 530, 630, 742, 795, 954, 1113, 1590, 1855, 2226, 2385, 3339, 3710, 4770, 5565, 6678, 11130, 16695, 33390.
What is 33390 in binary?
1000001001101110 (hexadecimal 826E, octal 101156).
What is the square root of 33390?
About 182.7293, exactly 3√3710.
Is 33390 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33390?
33390 is a Harshad number: divisible by its digit sum 18.