The number 12025
12025 is a composite number with 12 divisors. Its prime factorisation is × 13 × 37. Divisors (12): 1, 5, 13, 25, 37, 65, 185, 325, 481, 925, 2405, 12025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12025 is composite. Its prime factorisation is
- 3
The divisors add up to 16492; without 12025 itself that is 4467, so 12025 is deficient (4467 is less than 12025). Euler's totient φ(12025) = 8640 numbers up to 12025 share no factor with it.
- 4
The digits of 12025 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12025 = 5^{2} \times 13 \times 37 \]12025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16492 |
| Euler totient φ(n) | 8640 |
| Square | 144600625 |
| Cube | 1738822515625 |
| Square root | 109.658561 (= 5√481) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.2025 × |
12025 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and twenty-five |
| Binary (base 2) | 10111011111001 |
| Octal (base 8) | 27371 |
| Hexadecimal (base 16) | 2EF9 |
| Base 3 | 121111101 |
| As time | 12025 seconds = 3 h 20 min 25 s |
Is 12025 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 (12025 ÷ 5 = 2405) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | 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 12025 a prime number?
No. 12025 = × 13 × 37, so it is divisible by 5.
What are the factors of 12025?
1, 5, 13, 25, 37, 65, 185, 325, 481, 925, 2405, 12025.
What is 12025 in binary?
10111011111001 (hexadecimal 2EF9, octal 27371).
What is the square root of 12025?
About 109.6586, exactly 5√481.
Is 12025 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 12025?
It is a composite number with 12 divisors.