The number 25040
25040 is a composite number with 20 divisors. Its prime factorisation is × 5 × 313. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 313, 626, 1252, 1565, 2504, 3130 … 25040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25040 is composite. Its prime factorisation is
- 3
The divisors add up to 58404; without 25040 itself that is 33364, so 25040 is abundant (33364 is more than 25040). Euler's totient φ(25040) = 9984 numbers up to 25040 share no factor with it.
- 4
The digits of 25040 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 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25040 = 2^{4} \times 5 \times 313 \]25040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 58404 |
| Euler totient φ(n) | 9984 |
| Square | 627001600 |
| Cube | 15700120064000 |
| Square root | 158.240324 (= 4√1565) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.504 × |
25040 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and forty |
| Binary (base 2) | 110000111010000 |
| Octal (base 8) | 60720 |
| Hexadecimal (base 16) | 61D0 |
| Base 3 | 1021100102 |
| As time | 25040 seconds = 6 h 57 min 20 s |
Is 25040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25040 ÷ 2 = 12520) | 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 (25040 ÷ 4 = 6260) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25040 ÷ 5 = 5008) | 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 | 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 | Yes (25040 ÷ 8 = 3130) | 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 | Yes (25040 ÷ 10 = 2504) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 25040 a prime number?
No. 25040 = × 5 × 313, so it is divisible by 2.
What are the factors of 25040?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 313, 626, 1252, 1565, 2504, 3130, 5008, 6260, 12520, 25040.
What is 25040 in binary?
110000111010000 (hexadecimal 61D0, octal 60720).
What is the square root of 25040?
About 158.2403, exactly 4√1565.
Is 25040 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 25040?
It is a composite number with 20 divisors.