The number 25875
25875 is a composite number with 24 divisors. Its prime factorisation is × × 23. Divisors (24): 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 125, 207, 225, 345, 375 … 25875.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25875: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
25875 is composite. Its prime factorisation is
- 3
The divisors add up to 48672; without 25875 itself that is 22797, so 25875 is deficient (22797 is less than 25875). Euler's totient φ(25875) = 13200 numbers up to 25875 share no factor with it.
- 4
The digits of 25875 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25875 = 3^{2} \times 5^{3} \times 23 \]25875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 48672 |
| Euler totient φ(n) | 13200 |
| Square | 669515625 |
| Cube | 17323716796875 |
| Square root | 160.857079 (= 15√115) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.5875 × |
25875 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand eight hundred and seventy-five |
| Binary (base 2) | 110010100010011 |
| Octal (base 8) | 62423 |
| Hexadecimal (base 16) | 6513 |
| Base 3 | 1022111100 |
| As time | 25875 seconds = 7 h 11 min 15 s |
Is 25875 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 (25875 ÷ 3 = 8625) | 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 (25875 ÷ 5 = 5175) | 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 3) | 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 | Yes (25875 ÷ 9 = 2875) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25875 a prime number?
No. 25875 = × × 23, so it is divisible by 3.
What are the factors of 25875?
1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 125, 207, 225, 345, 375, 575, 1035, 1125, 1725, 2875, 5175, 8625, 25875.
What is 25875 in binary?
110010100010011 (hexadecimal 6513, octal 62423).
What is the square root of 25875?
About 160.8571, exactly 15√115.
Is 25875 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 25875?
25875 is a happy number: repeatedly adding the squares of its digits reaches 1.