The number 33750
33750 is a composite number with 40 divisors. Its prime factorisation is 2 × × . Divisors (40): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75 … 33750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33750: a Harshad number: divisible by its digit sum 18.
- 2
33750 is composite. Its prime factorisation is
- 3
The divisors add up to 93720; without 33750 itself that is 59970, so 33750 is abundant (59970 is more than 33750). Euler's totient φ(33750) = 9000 numbers up to 33750 share no factor with it.
- 4
The digits of 33750 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33750 = 2 \times 3^{3} \times 5^{4} \]33750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 93720 |
| Euler totient φ(n) | 9000 |
| Square | 1139062500 |
| Cube | 38443359375000 |
| Square root | 183.711731 (= 75√6) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.375 × |
33750 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and fifty |
| Binary (base 2) | 1000001111010110 |
| Octal (base 8) | 101726 |
| Hexadecimal (base 16) | 83D6 |
| Base 3 | 1201022000 |
| As time | 33750 seconds = 9 h 22 min 30 s |
Is 33750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33750 ÷ 2 = 16875) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33750 ÷ 3 = 11250) | 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 (33750 ÷ 5 = 6750) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33750 ÷ 6 = 5625) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33750 ÷ 9 = 3750) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33750 ÷ 10 = 3375) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33750 a prime number?
No. 33750 = 2 × × , so it is divisible by 2.
What are the factors of 33750?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 625, 675, 750, 1125, 1250, 1350, 1875, 2250, 3375, 3750, 5625, 6750, 11250, 16875, 33750.
What is 33750 in binary?
1000001111010110 (hexadecimal 83D6, octal 101726).
What is the square root of 33750?
About 183.7117, exactly 75√6.
Is 33750 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33750?
33750 is a Harshad number: divisible by its digit sum 18.