The number 33500
33500 is a composite number with 24 divisors. Its prime factorisation is × × 67. Divisors (24): 1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 125, 134, 250, 268, 335, 500 … 33500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33500 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33500 is composite. Its prime factorisation is
- 3
The divisors add up to 74256; without 33500 itself that is 40756, so 33500 is abundant (40756 is more than 33500). Euler's totient φ(33500) = 13200 numbers up to 33500 share no factor with it.
- 4
The digits of 33500 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
\[ 33500 = 2^{2} \times 5^{3} \times 67 \]33500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 74256 |
| Euler totient φ(n) | 13200 |
| Square | 1122250000 |
| Cube | 37595375000000 |
| Square root | 183.030052 (= 10√335) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.35 × |
33500 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred |
| Binary (base 2) | 1000001011011100 |
| Octal (base 8) | 101334 |
| Hexadecimal (base 16) | 82DC |
| Base 3 | 1200221202 |
| As time | 33500 seconds = 9 h 18 min 20 s |
Is 33500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33500 ÷ 2 = 16750) | 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 | Yes (33500 ÷ 4 = 8375) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33500 ÷ 5 = 6700) | 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 5) | 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 4) | 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 | Yes (33500 ÷ 10 = 3350) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33500 a prime number?
No. 33500 = × × 67, so it is divisible by 2.
What are the factors of 33500?
1, 2, 4, 5, 10, 20, 25, 50, 67, 100, 125, 134, 250, 268, 335, 500, 670, 1340, 1675, 3350, 6700, 8375, 16750, 33500.
What is 33500 in binary?
1000001011011100 (hexadecimal 82DC, octal 101334).
What is the square root of 33500?
About 183.0301, exactly 10√335.
Is 33500 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 33500?
It is a composite number with 24 divisors.