The number 33026
33026 is a composite number with 12 divisors. Its prime factorisation is 2 × × 337. Divisors (12): 1, 2, 7, 14, 49, 98, 337, 674, 2359, 4718, 16513, 33026.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33026: a Harshad number: divisible by its digit sum 14.
- 2
33026 is composite. Its prime factorisation is
- 3
The divisors add up to 57798; without 33026 itself that is 24772, so 33026 is deficient (24772 is less than 33026). Euler's totient φ(33026) = 14112 numbers up to 33026 share no factor with it.
- 4
The digits of 33026 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33026 = 2 \times 7^{2} \times 337 \]33026 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 57798 |
| Euler totient φ(n) | 14112 |
| Square | 1090716676 |
| Cube | 36022008941576 |
| Square root | 181.730570 (= 7√674) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3026 × |
33026 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and twenty-six |
| Binary (base 2) | 1000000100000010 |
| Octal (base 8) | 100402 |
| Hexadecimal (base 16) | 8102 |
| Base 3 | 1200022012 |
| As time | 33026 seconds = 9 h 10 min 26 s |
Is 33026 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33026 ÷ 2 = 16513) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33026 ÷ 7 = 4718) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33026 a prime number?
No. 33026 = 2 × × 337, so it is divisible by 2.
What are the factors of 33026?
1, 2, 7, 14, 49, 98, 337, 674, 2359, 4718, 16513, 33026.
What is 33026 in binary?
1000000100000010 (hexadecimal 8102, octal 100402).
What is the square root of 33026?
About 181.7306, exactly 7√674.
Is 33026 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33026?
33026 is a Harshad number: divisible by its digit sum 14.