The number 25004
25004 is a composite number with 24 divisors. Its prime factorisation is × 7 × 19 × 47. Divisors (24): 1, 2, 4, 7, 14, 19, 28, 38, 47, 76, 94, 133, 188, 266, 329, 532 … 25004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25004 is composite. Its prime factorisation is
- 3
The divisors add up to 53760; without 25004 itself that is 28756, so 25004 is abundant (28756 is more than 25004). Euler's totient φ(25004) = 9936 numbers up to 25004 share no factor with it.
- 4
The digits of 25004 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25004 = 2^{2} \times 7 \times 19 \times 47 \]25004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 53760 |
| Euler totient φ(n) | 9936 |
| Square | 625200016 |
| Cube | 15632501200064 |
| Square root | 158.126532 (= 2√6251) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.5004 × |
25004 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and four |
| Binary (base 2) | 110000110101100 |
| Octal (base 8) | 60654 |
| Hexadecimal (base 16) | 61AC |
| Base 3 | 1021022002 |
| As time | 25004 seconds = 6 h 56 min 44 s |
Is 25004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25004 ÷ 2 = 12502) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25004 ÷ 4 = 6251) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (25004 ÷ 7 = 3572) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25004 a prime number?
No. 25004 = × 7 × 19 × 47, so it is divisible by 2.
What are the factors of 25004?
1, 2, 4, 7, 14, 19, 28, 38, 47, 76, 94, 133, 188, 266, 329, 532, 658, 893, 1316, 1786, 3572, 6251, 12502, 25004.
What is 25004 in binary?
110000110101100 (hexadecimal 61AC, octal 60654).
What is the square root of 25004?
About 158.1265, exactly 2√6251.
Is 25004 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 25004?
It is a composite number with 24 divisors.