The number 33875
33875 is a composite number with 8 divisors. Its prime factorisation is Ć 271. Divisors (8): 1, 5, 25, 125, 271, 1355, 6775, 33875.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33875 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33875 is composite. Its prime factorisation is
- 3
The divisors add up to 42432; without 33875 itself that is 8557, so 33875 is deficient (8557 is less than 33875). Euler's totient Ļ(33875) = 27000 numbers up to 33875 share no factor with it.
- 4
The digits of 33875 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33875 = 5^{3} \times 271 \]33875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42432 |
| Euler totient Ļ(n) | 27000 |
| Square | 1147515625 |
| Cube | 38872091796875 |
| Square root | 184.051623 (= 5ā1355) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.3875 Ć |
33875 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and seventy-five |
| Binary (base 2) | 1000010001010011 |
| Octal (base 8) | 102123 |
| Hexadecimal (base 16) | 8453 |
| Base 3 | 1201110122 |
| As time | 33875 seconds = 9 h 24 min 35 s |
Is 33875 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 2) | 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 (33875 Ć· 5 = 6775) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33875 a prime number?
No. 33875 = Ć 271, so it is divisible by 5.
What are the factors of 33875?
1, 5, 25, 125, 271, 1355, 6775, 33875.
What is 33875 in binary?
1000010001010011 (hexadecimal 8453, octal 102123).
What is the square root of 33875?
About 184.0516, exactly 5ā1355.
Is 33875 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 33875?
It is a composite number with 8 divisors.