The number 1875
1875 is a composite number with 10 divisors. Its prime factorisation is 3 × . Divisors (10): 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1875: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1875 is composite. Its prime factorisation is
- 3
The divisors add up to 3124; without 1875 itself that is 1249, so 1875 is deficient (1249 is less than 1875). Euler's totient φ(1875) = 1000 numbers up to 1875 share no factor with it.
- 4
The digits of 1875 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 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1875 = 3 \times 5^{4} \]1875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 3124 |
| Euler totient φ(n) | 1000 |
| Square | 3515625 |
| Cube | 6591796875 |
| Square root | 43.301270 (= 25√3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 174 |
| Scientific notation | 1.875 × |
1875 in other forms
| Form | Value |
|---|---|
| In words | one thousand eight hundred and seventy-five |
| Roman numerals | MDCCCLXXV |
| Binary (base 2) | 11101010011 |
| Octal (base 8) | 3523 |
| Hexadecimal (base 16) | 753 |
| Base 3 | 2120110 |
| As time | 1875 seconds = 31 min 15 s |
Is 1875 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 (1875 ÷ 3 = 625) | 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 (1875 ÷ 5 = 375) | 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 3) | 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 5) | 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 1875 a prime number?
No. 1875 = 3 × , so it is divisible by 3.
What are the factors of 1875?
1, 3, 5, 15, 25, 75, 125, 375, 625, 1875.
What is 1875 in binary?
11101010011 (hexadecimal 753, octal 3523).
What is the square root of 1875?
About 43.3013, exactly 25√3.
What is 1875 in Roman numerals?
MDCCCLXXV.
Is 1875 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 1875?
1875 is a happy number: repeatedly adding the squares of its digits reaches 1.