The number 3875
3875 is a composite number with 8 divisors. Its prime factorisation is Ć 31. Divisors (8): 1, 5, 25, 31, 125, 155, 775, 3875.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3875 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3875 is composite. Its prime factorisation is
- 3
The divisors add up to 4992; without 3875 itself that is 1117, so 3875 is deficient (1117 is less than 3875). Euler's totient Ļ(3875) = 3000 numbers up to 3875 share no factor with it.
- 4
The digits of 3875 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3875 = 5^{3} \times 31 \]3875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4992 |
| Euler totient Ļ(n) | 3000 |
| Square | 15015625 |
| Cube | 58185546875 |
| Square root | 62.249498 (= 5ā155) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 51 |
| Scientific notation | 3.875 Ć |
3875 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and seventy-five |
| Roman numerals | MMMDCCCLXXV |
| Binary (base 2) | 111100100011 |
| Octal (base 8) | 7443 |
| Hexadecimal (base 16) | F23 |
| Base 3 | 12022112 |
| As time | 3875 seconds = 1 h 4 min 35 s |
Is 3875 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 (3875 Ć· 5 = 775) | 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 4) | 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 5) | 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 3) | 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 3875 a prime number?
No. 3875 = Ć 31, so it is divisible by 5.
What are the factors of 3875?
1, 5, 25, 31, 125, 155, 775, 3875.
What is 3875 in binary?
111100100011 (hexadecimal F23, octal 7443).
What is the square root of 3875?
About 62.2495, exactly 5ā155.
What is 3875 in Roman numerals?
MMMDCCCLXXV.
Is 3875 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 3875?
It is a composite number with 8 divisors.