The number 3375
3375 is a perfect cube (). Its prime factorisation is × . Divisors (16): 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3375: a perfect cube ().
- 2
3375 is composite. Its prime factorisation is
- 3
The divisors add up to 6240; without 3375 itself that is 2865, so 3375 is deficient (2865 is less than 3375). Euler's totient φ(3375) = 1800 numbers up to 3375 share no factor with it.
- 4
The digits of 3375 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 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3375 = 3^{3} \times 5^{3} \]3375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6240 |
| Euler totient φ(n) | 1800 |
| Square | 11390625 |
| Cube | 38443359375 |
| Square root | 58.094750 (= 15√15) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.375 × |
| Perfect power |
3375 in other forms
| Form | Value |
|---|---|
| In words | three thousand three hundred and seventy-five |
| Roman numerals | MMMCCCLXXV |
| Binary (base 2) | 110100101111 |
| Octal (base 8) | 6457 |
| Hexadecimal (base 16) | D2F |
| Base 3 | 11122000 |
| As time | 3375 seconds = 56 min 15 s |
Is 3375 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 (3375 ÷ 3 = 1125) | 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 (3375 ÷ 5 = 675) | 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 1) | 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 | Yes (3375 ÷ 9 = 375) | 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 9) | 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 3375 a prime number?
No. 3375 = × , so it is divisible by 3.
What are the factors of 3375?
1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375.
What is 3375 in binary?
110100101111 (hexadecimal D2F, octal 6457).
What is the square root of 3375?
About 58.0948, exactly 15√15.
What is 3375 in Roman numerals?
MMMCCCLXXV.
Is 3375 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3375?
3375 is a perfect cube ().