The number 875
875 is a composite number with 8 divisors. Its prime factorisation is × 7. Divisors (8): 1, 5, 7, 25, 35, 125, 175, 875.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
875 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
875 is composite. Its prime factorisation is
- 3
The divisors add up to 1248; without 875 itself that is 373, so 875 is deficient (373 is less than 875). Euler's totient φ(875) = 600 numbers up to 875 share no factor with it.
- 4
The digits of 875 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 875 = 5^{3} \times 7 \]875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1248 |
| Euler totient φ(n) | 600 |
| Square | 765625 |
| Cube | 669921875 |
| Square root | 29.580399 (= 5√35) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 28 |
| Scientific notation | 8.75 × |
875 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and seventy-five |
| Roman numerals | DCCCLXXV |
| Binary (base 2) | 1101101011 |
| Octal (base 8) | 1553 |
| Hexadecimal (base 16) | 36B |
| Base 3 | 1012102 |
| As time | 875 seconds = 14 min 35 s |
Is 875 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 (875 ÷ 5 = 175) | 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 | Yes (875 ÷ 7 = 125) | 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 2) | 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 875 a prime number?
No. 875 = × 7, so it is divisible by 5.
What are the factors of 875?
1, 5, 7, 25, 35, 125, 175, 875.
What is 875 in binary?
1101101011 (hexadecimal 36B, octal 1553).
What is the square root of 875?
About 29.5804, exactly 5√35.
What is 875 in Roman numerals?
DCCCLXXV.
Is 875 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 875?
It is a composite number with 8 divisors.