The number 33375
33375 is a composite number with 16 divisors. Its prime factorisation is 3 × × 89. Divisors (16): 1, 3, 5, 15, 25, 75, 89, 125, 267, 375, 445, 1335, 2225, 6675, 11125, 33375.
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How to work it out
- 1
33375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33375 is composite. Its prime factorisation is
- 3
The divisors add up to 56160; without 33375 itself that is 22785, so 33375 is deficient (22785 is less than 33375). Euler's totient φ(33375) = 17600 numbers up to 33375 share no factor with it.
- 4
The digits of 33375 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33375 = 3 \times 5^{3} \times 89 \]33375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 56160 |
| Euler totient φ(n) | 17600 |
| Square | 1113890625 |
| Cube | 37176099609375 |
| Square root | 182.688259 (= 5√1335) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3375 × |
33375 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and seventy-five |
| Binary (base 2) | 1000001001011111 |
| Octal (base 8) | 101137 |
| Hexadecimal (base 16) | 825F |
| Base 3 | 1200210010 |
| As time | 33375 seconds = 9 h 16 min 15 s |
Is 33375 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 | Yes (33375 ÷ 3 = 11125) | 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 (33375 ÷ 5 = 6675) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33375 a prime number?
No. 33375 = 3 × × 89, so it is divisible by 3.
What are the factors of 33375?
1, 3, 5, 15, 25, 75, 89, 125, 267, 375, 445, 1335, 2225, 6675, 11125, 33375.
What is 33375 in binary?
1000001001011111 (hexadecimal 825F, octal 101137).
What is the square root of 33375?
About 182.6883, exactly 5√1335.
Is 33375 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33375?
It is a composite number with 16 divisors.