The number 33250
33250 is a composite number with 32 divisors. Its prime factorisation is 2 × × 7 × 19. Divisors (32): 1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 125, 133, 175 … 33250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33250 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33250 is composite. Its prime factorisation is
- 3
The divisors add up to 74880; without 33250 itself that is 41630, so 33250 is abundant (41630 is more than 33250). Euler's totient φ(33250) = 10800 numbers up to 33250 share no factor with it.
- 4
The digits of 33250 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33250 = 2 \times 5^{3} \times 7 \times 19 \]33250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 74880 |
| Euler totient φ(n) | 10800 |
| Square | 1105562500 |
| Cube | 36759953125000 |
| Square root | 182.345825 (= 5√1330) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.325 × |
33250 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and fifty |
| Binary (base 2) | 1000000111100010 |
| Octal (base 8) | 100742 |
| Hexadecimal (base 16) | 81E2 |
| Base 3 | 1200121111 |
| As time | 33250 seconds = 9 h 14 min 10 s |
Is 33250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33250 ÷ 2 = 16625) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33250 ÷ 5 = 6650) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33250 ÷ 7 = 4750) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33250 ÷ 10 = 3325) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33250 a prime number?
No. 33250 = 2 × × 7 × 19, so it is divisible by 2.
What are the factors of 33250?
1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 125, 133, 175, 190, 250, 266, 350, 475, 665, 875, 950, 1330, 1750, 2375, 3325, 4750, 6650, 16625, 33250.
What is 33250 in binary?
1000000111100010 (hexadecimal 81E2, octal 100742).
What is the square root of 33250?
About 182.3458, exactly 5√1330.
Is 33250 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33250?
It is a composite number with 32 divisors.