The number 11725
11725 is a composite number with 12 divisors. Its prime factorisation is × 7 × 67. Divisors (12): 1, 5, 7, 25, 35, 67, 175, 335, 469, 1675, 2345, 11725.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11725 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11725 is composite. Its prime factorisation is
- 3
The divisors add up to 16864; without 11725 itself that is 5139, so 11725 is deficient (5139 is less than 11725). Euler's totient φ(11725) = 7920 numbers up to 11725 share no factor with it.
- 4
The digits of 11725 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11725 = 5^{2} \times 7 \times 67 \]11725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16864 |
| Euler totient φ(n) | 7920 |
| Square | 137475625 |
| Cube | 1611901703125 |
| Square root | 108.282039 (= 5√469) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.1725 × |
11725 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and twenty-five |
| Binary (base 2) | 10110111001101 |
| Octal (base 8) | 26715 |
| Hexadecimal (base 16) | 2DCD |
| Base 3 | 121002021 |
| As time | 11725 seconds = 3 h 15 min 25 s |
Is 11725 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 | No (remainder 1) | 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 (11725 ÷ 5 = 2345) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (11725 ÷ 7 = 1675) | 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 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11725 a prime number?
No. 11725 = × 7 × 67, so it is divisible by 5.
What are the factors of 11725?
1, 5, 7, 25, 35, 67, 175, 335, 469, 1675, 2345, 11725.
What is 11725 in binary?
10110111001101 (hexadecimal 2DCD, octal 26715).
What is the square root of 11725?
About 108.2820, exactly 5√469.
Is 11725 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 11725?
It is a composite number with 12 divisors.