The number 25940
25940 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1297. Divisors (12): 1, 2, 4, 5, 10, 20, 1297, 2594, 5188, 6485, 12970, 25940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25940: a Harshad number: divisible by its digit sum 20.
- 2
25940 is composite. Its prime factorisation is
- 3
The divisors add up to 54516; without 25940 itself that is 28576, so 25940 is abundant (28576 is more than 25940). Euler's totient φ(25940) = 10368 numbers up to 25940 share no factor with it.
- 4
The digits of 25940 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25940 = 2^{2} \times 5 \times 1297 \]25940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54516 |
| Euler totient φ(n) | 10368 |
| Square | 672883600 |
| Cube | 17454600584000 |
| Square root | 161.058995 (= 2√6485) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 33 |
| Scientific notation | 2.594 × |
25940 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand nine hundred and forty |
| Binary (base 2) | 110010101010100 |
| Octal (base 8) | 62524 |
| Hexadecimal (base 16) | 6554 |
| Base 3 | 1022120202 |
| As time | 25940 seconds = 7 h 12 min 20 s |
Is 25940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25940 ÷ 2 = 12970) | 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 (25940 ÷ 4 = 6485) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25940 ÷ 5 = 5188) | 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 5) | 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 | Yes (25940 ÷ 10 = 2594) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25940 a prime number?
No. 25940 = × 5 × 1297, so it is divisible by 2.
What are the factors of 25940?
1, 2, 4, 5, 10, 20, 1297, 2594, 5188, 6485, 12970, 25940.
What is 25940 in binary?
110010101010100 (hexadecimal 6554, octal 62524).
What is the square root of 25940?
About 161.0590, exactly 2√6485.
Is 25940 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 25940?
25940 is a Harshad number: divisible by its digit sum 20.