The number 25376
25376 is a composite number with 24 divisors. Its prime factorisation is × 13 × 61. Divisors (24): 1, 2, 4, 8, 13, 16, 26, 32, 52, 61, 104, 122, 208, 244, 416, 488 … 25376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25376 is composite. Its prime factorisation is
- 3
The divisors add up to 54684; without 25376 itself that is 29308, so 25376 is abundant (29308 is more than 25376). Euler's totient φ(25376) = 11520 numbers up to 25376 share no factor with it.
- 4
The digits of 25376 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25376 = 2^{5} \times 13 \times 61 \]25376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 54684 |
| Euler totient φ(n) | 11520 |
| Square | 643941376 |
| Cube | 16340656357376 |
| Square root | 159.298462 (= 4√1586) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.5376 × |
25376 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand three hundred and seventy-six |
| Binary (base 2) | 110001100100000 |
| Octal (base 8) | 61440 |
| Hexadecimal (base 16) | 6320 |
| Base 3 | 1021210212 |
| As time | 25376 seconds = 7 h 2 min 56 s |
Is 25376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25376 ÷ 2 = 12688) | 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 (25376 ÷ 4 = 6344) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (25376 ÷ 8 = 3172) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 25376 a prime number?
No. 25376 = × 13 × 61, so it is divisible by 2.
What are the factors of 25376?
1, 2, 4, 8, 13, 16, 26, 32, 52, 61, 104, 122, 208, 244, 416, 488, 793, 976, 1586, 1952, 3172, 6344, 12688, 25376.
What is 25376 in binary?
110001100100000 (hexadecimal 6320, octal 61440).
What is the square root of 25376?
About 159.2985, exactly 4√1586.
Is 25376 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 25376?
It is a composite number with 24 divisors.