The number 33133
33133 is a palindrome: it reads 33133 backwards too. Its prime factorisation is 17 × 1949. Divisors (4): 1, 17, 1949, 33133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33133: a palindrome: it reads 33133 backwards too; a semiprime: 17 × 1949, the product of two primes.
- 2
33133 is composite. Its prime factorisation is
- 3
The divisors add up to 35100; without 33133 itself that is 1967, so 33133 is deficient (1967 is less than 33133). Euler's totient φ(33133) = 31168 numbers up to 33133 share no factor with it.
- 4
The digits of 33133 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33133 = 17 \times 1949 \]
33133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 35100 |
| Euler totient φ(n) | 31168 |
| Square | 1097795689 |
| Cube | 36373264563637 |
| Square root | 182.024724 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3133 × |
33133 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and thirty-three |
| Binary (base 2) | 1000000101101101 |
| Octal (base 8) | 100555 |
| Hexadecimal (base 16) | 816D |
| Base 3 | 1200110011 |
| As time | 33133 seconds = 9 h 12 min 13 s |
Is 33133 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 1) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33133 a prime number?
No. 33133 = 17 × 1949, so it is divisible by 17.
What are the factors of 33133?
1, 17, 1949, 33133.
What is 33133 in binary?
1000000101101101 (hexadecimal 816D, octal 100555).
What is the square root of 33133?
About 182.0247.
Is 33133 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33133?
33133 is a palindrome: it reads 33133 backwards too; a semiprime: 17 × 1949, the product of two primes.