The number 12750
12750 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × × 17. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102 … 12750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12750: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.
- 2
12750 is composite. Its prime factorisation is
- 3
The divisors add up to 33696; without 12750 itself that is 20946, so 12750 is abundant (20946 is more than 12750). Euler's totient φ(12750) = 3200 numbers up to 12750 share no factor with it.
- 4
The digits of 12750 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12750 = 2 \times 3 \times 5^{3} \times 17 \]12750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 33696 |
| Euler totient φ(n) | 3200 |
| Square | 162562500 |
| Cube | 2072671875000 |
| Square root | 112.915898 (= 5√510) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 200 |
| Scientific notation | 1.275 × |
12750 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and fifty |
| Binary (base 2) | 11000111001110 |
| Octal (base 8) | 30716 |
| Hexadecimal (base 16) | 31CE |
| Base 3 | 122111020 |
| As time | 12750 seconds = 3 h 32 min 30 s |
Is 12750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12750 ÷ 2 = 6375) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12750 ÷ 3 = 4250) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (12750 ÷ 5 = 2550) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (12750 ÷ 6 = 2125) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (12750 ÷ 10 = 1275) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12750 a prime number?
No. 12750 = 2 × 3 × × 17, so it is divisible by 2.
What are the factors of 12750?
1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 125, 150, 170, 250, 255, 375, 425, 510, 750, 850, 1275, 2125, 2550, 4250, 6375, 12750.
What is 12750 in binary?
11000111001110 (hexadecimal 31CE, octal 30716).
What is the square root of 12750?
About 112.9159, exactly 5√510.
Is 12750 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 12750?
12750 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.