The number 33002
33002 is a composite number with 8 divisors. Its prime factorisation is 2 × 29 × 569. Divisors (8): 1, 2, 29, 58, 569, 1138, 16501, 33002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33002 is composite. Its prime factorisation is
- 3
The divisors add up to 51300; without 33002 itself that is 18298, so 33002 is deficient (18298 is less than 33002). Euler's totient φ(33002) = 15904 numbers up to 33002 share no factor with it.
- 4
The digits of 33002 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33002 = 2 \times 29 \times 569 \]
33002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51300 |
| Euler totient φ(n) | 15904 |
| Square | 1089132004 |
| Cube | 35943534396008 |
| Square root | 181.664526 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3002 × |
33002 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and two |
| Binary (base 2) | 1000000011101010 |
| Octal (base 8) | 100352 |
| Hexadecimal (base 16) | 80EA |
| Base 3 | 1200021022 |
| As time | 33002 seconds = 9 h 10 min 2 s |
Is 33002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33002 ÷ 2 = 16501) | 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 2) | 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 | No (remainder 4) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33002 a prime number?
No. 33002 = 2 × 29 × 569, so it is divisible by 2.
What are the factors of 33002?
1, 2, 29, 58, 569, 1138, 16501, 33002.
What is 33002 in binary?
1000000011101010 (hexadecimal 80EA, octal 100352).
What is the square root of 33002?
About 181.6645.
Is 33002 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 33002?
It is a composite number with 8 divisors.