The number 25400
25400 is a composite number with 24 divisors. Its prime factorisation is × × 127. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 127, 200, 254, 508, 635 … 25400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25400 is composite. Its prime factorisation is
- 3
The divisors add up to 59520; without 25400 itself that is 34120, so 25400 is abundant (34120 is more than 25400). Euler's totient φ(25400) = 10080 numbers up to 25400 share no factor with it.
- 4
The digits of 25400 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 201 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25400 = 2^{3} \times 5^{2} \times 127 \]25400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 59520 |
| Euler totient φ(n) | 10080 |
| Square | 645160000 |
| Cube | 16387064000000 |
| Square root | 159.373775 (= 10√254) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 201 |
| Scientific notation | 2.54 × |
25400 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand four hundred |
| Binary (base 2) | 110001100111000 |
| Octal (base 8) | 61470 |
| Hexadecimal (base 16) | 6338 |
| Base 3 | 1021211202 |
| As time | 25400 seconds = 7 h 3 min 20 s |
Is 25400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25400 ÷ 2 = 12700) | 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 (25400 ÷ 4 = 6350) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25400 ÷ 5 = 5080) | 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 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 (25400 ÷ 8 = 3175) | 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 (25400 ÷ 10 = 2540) | 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 25400 a prime number?
No. 25400 = × × 127, so it is divisible by 2.
What are the factors of 25400?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 127, 200, 254, 508, 635, 1016, 1270, 2540, 3175, 5080, 6350, 12700, 25400.
What is 25400 in binary?
110001100111000 (hexadecimal 6338, octal 61470).
What is the square root of 25400?
About 159.3738, exactly 10√254.
Is 25400 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 25400?
It is a composite number with 24 divisors.