The number 33090
33090 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1103. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1103, 2206, 3309, 5515, 6618, 11030, 16545, 33090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33090: a Harshad number: divisible by its digit sum 15.
- 2
33090 is composite. Its prime factorisation is
- 3
The divisors add up to 79488; without 33090 itself that is 46398, so 33090 is abundant (46398 is more than 33090). Euler's totient φ(33090) = 8816 numbers up to 33090 share no factor with it.
- 4
The digits of 33090 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33090 = 2 \times 3 \times 5 \times 1103 \]
33090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79488 |
| Euler totient φ(n) | 8816 |
| Square | 1094948100 |
| Cube | 36231832629000 |
| Square root | 181.906569 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.309 × |
33090 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and ninety |
| Binary (base 2) | 1000000101000010 |
| Octal (base 8) | 100502 |
| Hexadecimal (base 16) | 8142 |
| Base 3 | 1200101120 |
| As time | 33090 seconds = 9 h 11 min 30 s |
Is 33090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33090 ÷ 2 = 16545) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33090 ÷ 3 = 11030) | 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 (33090 ÷ 5 = 6618) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33090 ÷ 6 = 5515) | 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 2) | 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 (33090 ÷ 10 = 3309) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 33090 a prime number?
No. 33090 = 2 × 3 × 5 × 1103, so it is divisible by 2.
What are the factors of 33090?
1, 2, 3, 5, 6, 10, 15, 30, 1103, 2206, 3309, 5515, 6618, 11030, 16545, 33090.
What is 33090 in binary?
1000000101000010 (hexadecimal 8142, octal 100502).
What is the square root of 33090?
About 181.9066.
Is 33090 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33090?
33090 is a Harshad number: divisible by its digit sum 15.