The number 10725
10725 is a binary palindrome (10100111100101). Its prime factorisation is 3 × × 11 × 13. Divisors (24): 1, 3, 5, 11, 13, 15, 25, 33, 39, 55, 65, 75, 143, 165, 195, 275 … 10725.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10725: a binary palindrome (10100111100101); a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.
- 2
10725 is composite. Its prime factorisation is
- 3
The divisors add up to 20832; without 10725 itself that is 10107, so 10725 is deficient (10107 is less than 10725). Euler's totient φ(10725) = 4800 numbers up to 10725 share no factor with it.
- 4
The digits of 10725 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10725 = 3 \times 5^{2} \times 11 \times 13 \]10725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 20832 |
| Euler totient φ(n) | 4800 |
| Square | 115025625 |
| Cube | 1233649828125 |
| Square root | 103.561576 (= 5√429) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.0725 × |
10725 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and twenty-five |
| Binary (base 2) | 10100111100101 |
| Octal (base 8) | 24745 |
| Hexadecimal (base 16) | 29E5 |
| Base 3 | 112201020 |
| As time | 10725 seconds = 2 h 58 min 45 s |
Is 10725 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 (10725 ÷ 3 = 3575) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (10725 ÷ 5 = 2145) | 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 1) | 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 5) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (10725 ÷ 11 = 975) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10725 a prime number?
No. 10725 = 3 × × 11 × 13, so it is divisible by 3.
What are the factors of 10725?
1, 3, 5, 11, 13, 15, 25, 33, 39, 55, 65, 75, 143, 165, 195, 275, 325, 429, 715, 825, 975, 2145, 3575, 10725.
What is 10725 in binary?
10100111100101 (hexadecimal 29E5, octal 24745).
What is the square root of 10725?
About 103.5616, exactly 5√429.
Is 10725 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 10725?
10725 is a binary palindrome (10100111100101); a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.