The number 25008
25008 is a composite number with 20 divisors. Its prime factorisation is × 3 × 521. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 521, 1042, 1563, 2084, 3126, 4168 … 25008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25008 is composite. Its prime factorisation is
- 3
The divisors add up to 64728; without 25008 itself that is 39720, so 25008 is abundant (39720 is more than 25008). Euler's totient φ(25008) = 8320 numbers up to 25008 share no factor with it.
- 4
The digits of 25008 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 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25008 = 2^{4} \times 3 \times 521 \]25008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 64728 |
| Euler totient φ(n) | 8320 |
| Square | 625400064 |
| Cube | 15640004800512 |
| Square root | 158.139179 (= 4√1563) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.5008 × |
25008 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and eight |
| Binary (base 2) | 110000110110000 |
| Octal (base 8) | 60660 |
| Hexadecimal (base 16) | 61B0 |
| Base 3 | 1021022020 |
| As time | 25008 seconds = 6 h 56 min 48 s |
Is 25008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25008 ÷ 2 = 12504) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25008 ÷ 3 = 8336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25008 ÷ 4 = 6252) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (25008 ÷ 6 = 4168) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (25008 ÷ 8 = 3126) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (25008 ÷ 12 = 2084) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25008 a prime number?
No. 25008 = × 3 × 521, so it is divisible by 2.
What are the factors of 25008?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 521, 1042, 1563, 2084, 3126, 4168, 6252, 8336, 12504, 25008.
What is 25008 in binary?
110000110110000 (hexadecimal 61B0, octal 60660).
What is the square root of 25008?
About 158.1392, exactly 4√1563.
Is 25008 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 25008?
It is a composite number with 20 divisors.