The number 25005
25005 is a composite number with 8 divisors. Its prime factorisation is 3 × 5 × 1667. Divisors (8): 1, 3, 5, 15, 1667, 5001, 8335, 25005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25005 is composite. Its prime factorisation is
- 3
The divisors add up to 40032; without 25005 itself that is 15027, so 25005 is deficient (15027 is less than 25005). Euler's totient φ(25005) = 13328 numbers up to 25005 share no factor with it.
- 4
The digits of 25005 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 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25005 = 3 \times 5 \times 1667 \]
25005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 40032 |
| Euler totient φ(n) | 13328 |
| Square | 625250025 |
| Cube | 15634376875125 |
| Square root | 158.129694 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.5005 × |
25005 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and five |
| Binary (base 2) | 110000110101101 |
| Octal (base 8) | 60655 |
| Hexadecimal (base 16) | 61AD |
| Base 3 | 1021022010 |
| As time | 25005 seconds = 6 h 56 min 45 s |
Is 25005 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 (25005 ÷ 3 = 8335) | 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 (25005 ÷ 5 = 5001) | 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 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25005 a prime number?
No. 25005 = 3 × 5 × 1667, so it is divisible by 3.
What are the factors of 25005?
1, 3, 5, 15, 1667, 5001, 8335, 25005.
What is 25005 in binary?
110000110101101 (hexadecimal 61AD, octal 60655).
What is the square root of 25005?
About 158.1297.
Is 25005 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 25005?
It is a composite number with 8 divisors.