The number 3975
3975 is a composite number with 12 divisors. Its prime factorisation is 3 × × 53. Divisors (12): 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3975 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3975 is composite. Its prime factorisation is
- 3
The divisors add up to 6696; without 3975 itself that is 2721, so 3975 is deficient (2721 is less than 3975). Euler's totient φ(3975) = 2080 numbers up to 3975 share no factor with it.
- 4
The digits of 3975 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3975 = 3 \times 5^{2} \times 53 \]3975 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6696 |
| Euler totient φ(n) | 2080 |
| Square | 15800625 |
| Cube | 62807484375 |
| Square root | 63.047601 (= 5√159) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 51 |
| Scientific notation | 3.975 × |
3975 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and seventy-five |
| Roman numerals | MMMCMLXXV |
| Binary (base 2) | 111110000111 |
| Octal (base 8) | 7607 |
| Hexadecimal (base 16) | F87 |
| Base 3 | 12110020 |
| As time | 3975 seconds = 1 h 6 min 15 s |
Is 3975 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 (3975 ÷ 3 = 1325) | 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 (3975 ÷ 5 = 795) | 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 6) | 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 4) | 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 3975 a prime number?
No. 3975 = 3 × × 53, so it is divisible by 3.
What are the factors of 3975?
1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975.
What is 3975 in binary?
111110000111 (hexadecimal F87, octal 7607).
What is the square root of 3975?
About 63.0476, exactly 5√159.
What is 3975 in Roman numerals?
MMMCMLXXV.
Is 3975 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 3975?
It is a composite number with 12 divisors.