The number 33775
33775 is a composite number with 12 divisors. Its prime factorisation is × 7 × 193. Divisors (12): 1, 5, 7, 25, 35, 175, 193, 965, 1351, 4825, 6755, 33775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33775: a Harshad number: divisible by its digit sum 25.
- 2
33775 is composite. Its prime factorisation is
- 3
The divisors add up to 48112; without 33775 itself that is 14337, so 33775 is deficient (14337 is less than 33775). Euler's totient φ(33775) = 23040 numbers up to 33775 share no factor with it.
- 4
The digits of 33775 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33775 = 5^{2} \times 7 \times 193 \]33775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 48112 |
| Euler totient φ(n) | 23040 |
| Square | 1140750625 |
| Cube | 38528852359375 |
| Square root | 183.779759 (= 5√1351) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3775 × |
33775 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and seventy-five |
| Binary (base 2) | 1000001111101111 |
| Octal (base 8) | 101757 |
| Hexadecimal (base 16) | 83EF |
| Base 3 | 1201022221 |
| As time | 33775 seconds = 9 h 22 min 55 s |
Is 33775 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33775 ÷ 5 = 6755) | 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 | Yes (33775 ÷ 7 = 4825) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33775 a prime number?
No. 33775 = × 7 × 193, so it is divisible by 5.
What are the factors of 33775?
1, 5, 7, 25, 35, 175, 193, 965, 1351, 4825, 6755, 33775.
What is 33775 in binary?
1000001111101111 (hexadecimal 83EF, octal 101757).
What is the square root of 33775?
About 183.7798, exactly 5√1351.
Is 33775 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33775?
33775 is a Harshad number: divisible by its digit sum 25.