The number 25500
25500 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 17. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51 … 25500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25500: a Harshad number: divisible by its digit sum 12.
- 2
25500 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 25500 itself that is 53124, so 25500 is abundant (53124 is more than 25500). Euler's totient φ(25500) = 6400 numbers up to 25500 share no factor with it.
- 4
The digits of 25500 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 201 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25500 = 2^{2} \times 3 \times 5^{3} \times 17 \]25500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 6400 |
| Square | 650250000 |
| Cube | 16581375000000 |
| Square root | 159.687194 (= 10√255) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 201 |
| Scientific notation | 2.55 × |
25500 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand five hundred |
| Binary (base 2) | 110001110011100 |
| Octal (base 8) | 61634 |
| Hexadecimal (base 16) | 639C |
| Base 3 | 1021222110 |
| As time | 25500 seconds = 7 h 5 min 0 s |
Is 25500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25500 ÷ 2 = 12750) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25500 ÷ 3 = 8500) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25500 ÷ 4 = 6375) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25500 ÷ 5 = 5100) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (25500 ÷ 6 = 4250) | 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 4) | 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 | Yes (25500 ÷ 10 = 2550) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (25500 ÷ 12 = 2125) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25500 a prime number?
No. 25500 = × 3 × × 17, so it is divisible by 2.
What are the factors of 25500?
1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 125, 150, 170, 204, 250, 255, 300, 340, 375, 425, 500, 510, 750, 850, 1020, 1275, 1500, 1700, 2125, 2550, 4250, 5100, 6375, 8500, 12750, 25500.
What is 25500 in binary?
110001110011100 (hexadecimal 639C, octal 61634).
What is the square root of 25500?
About 159.6872, exactly 10√255.
Is 25500 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 25500?
25500 is a Harshad number: divisible by its digit sum 12.