The number 25264
25264 is a composite number with 10 divisors. Its prime factorisation is × 1579. Divisors (10): 1, 2, 4, 8, 16, 1579, 3158, 6316, 12632, 25264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25264 is composite. Its prime factorisation is
- 3
The divisors add up to 48980; without 25264 itself that is 23716, so 25264 is deficient (23716 is less than 25264). Euler's totient φ(25264) = 12624 numbers up to 25264 share no factor with it.
- 4
The digits of 25264 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25264 = 2^{4} \times 1579 \]25264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 48980 |
| Euler totient φ(n) | 12624 |
| Square | 638269696 |
| Cube | 16125245599744 |
| Square root | 158.946532 (= 4√1579) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.5264 × |
25264 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand two hundred and sixty-four |
| Binary (base 2) | 110001010110000 |
| Octal (base 8) | 61260 |
| Hexadecimal (base 16) | 62B0 |
| Base 3 | 1021122201 |
| As time | 25264 seconds = 7 h 1 min 4 s |
Is 25264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25264 ÷ 2 = 12632) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25264 ÷ 4 = 6316) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (25264 ÷ 8 = 3158) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25264 a prime number?
No. 25264 = × 1579, so it is divisible by 2.
What are the factors of 25264?
1, 2, 4, 8, 16, 1579, 3158, 6316, 12632, 25264.
What is 25264 in binary?
110001010110000 (hexadecimal 62B0, octal 61260).
What is the square root of 25264?
About 158.9465, exactly 4√1579.
Is 25264 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 25264?
It is a composite number with 10 divisors.