The number 33035
33035 is a composite number with 4 divisors. Its prime factorisation is 5 × 6607. Divisors (4): 1, 5, 6607, 33035.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33035: a semiprime: 5 × 6607, the product of two primes.
- 2
33035 is composite. Its prime factorisation is
- 3
The divisors add up to 39648; without 33035 itself that is 6613, so 33035 is deficient (6613 is less than 33035). Euler's totient φ(33035) = 26424 numbers up to 33035 share no factor with it.
- 4
The digits of 33035 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33035 = 5 \times 6607 \]
33035 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 39648 |
| Euler totient φ(n) | 26424 |
| Square | 1091311225 |
| Cube | 36051466317875 |
| Square root | 181.755330 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3035 × |
33035 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and thirty-five |
| Binary (base 2) | 1000000100001011 |
| Octal (base 8) | 100413 |
| Hexadecimal (base 16) | 810B |
| Base 3 | 1200022112 |
| As time | 33035 seconds = 9 h 10 min 35 s |
Is 33035 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33035 ÷ 5 = 6607) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 5) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33035 a prime number?
No. 33035 = 5 × 6607, so it is divisible by 5.
What are the factors of 33035?
1, 5, 6607, 33035.
What is 33035 in binary?
1000000100001011 (hexadecimal 810B, octal 100413).
What is the square root of 33035?
About 181.7553.
Is 33035 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33035?
33035 is a semiprime: 5 × 6607, the product of two primes.