The number 33005
33005 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × 23 × 41. Divisors (16): 1, 5, 7, 23, 35, 41, 115, 161, 205, 287, 805, 943, 1435, 4715, 6601, 33005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33005 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 33005 itself that is 15379, so 33005 is deficient (15379 is less than 33005). Euler's totient φ(33005) = 21120 numbers up to 33005 share no factor with it.
- 4
The digits of 33005 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33005 = 5 \times 7 \times 23 \times 41 \]
33005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 21120 |
| Square | 1089330025 |
| Cube | 35953337475125 |
| Square root | 181.672783 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3005 × |
33005 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and five |
| Binary (base 2) | 1000000011101101 |
| Octal (base 8) | 100355 |
| Hexadecimal (base 16) | 80ED |
| Base 3 | 1200021102 |
| As time | 33005 seconds = 9 h 10 min 5 s |
Is 33005 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33005 ÷ 5 = 6601) | 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 | Yes (33005 ÷ 7 = 4715) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33005 a prime number?
No. 33005 = 5 × 7 × 23 × 41, so it is divisible by 5.
What are the factors of 33005?
1, 5, 7, 23, 35, 41, 115, 161, 205, 287, 805, 943, 1435, 4715, 6601, 33005.
What is 33005 in binary?
1000000011101101 (hexadecimal 80ED, octal 100355).
What is the square root of 33005?
About 181.6728.
Is 33005 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 33005?
It is a composite number with 16 divisors.