The number 25664
25664 is a composite number with 14 divisors. Its prime factorisation is × 401. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 401, 802, 1604, 3208, 6416, 12832, 25664.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25664 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25664 is composite. Its prime factorisation is
- 3
The divisors add up to 51054; without 25664 itself that is 25390, so 25664 is deficient (25390 is less than 25664). Euler's totient φ(25664) = 12800 numbers up to 25664 share no factor with it.
- 4
The digits of 25664 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 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25664 = 2^{6} \times 401 \]25664 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 51054 |
| Euler totient φ(n) | 12800 |
| Square | 658640896 |
| Cube | 16903359954944 |
| Square root | 160.199875 (= 8√401) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 25 |
| Scientific notation | 2.5664 × |
25664 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand six hundred and sixty-four |
| Binary (base 2) | 110010001000000 |
| Octal (base 8) | 62100 |
| Hexadecimal (base 16) | 6440 |
| Base 3 | 1022012112 |
| As time | 25664 seconds = 7 h 7 min 44 s |
Is 25664 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25664 ÷ 2 = 12832) | 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 (25664 ÷ 4 = 6416) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (25664 ÷ 8 = 3208) | 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 4) | 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 25664 a prime number?
No. 25664 = × 401, so it is divisible by 2.
What are the factors of 25664?
1, 2, 4, 8, 16, 32, 64, 401, 802, 1604, 3208, 6416, 12832, 25664.
What is 25664 in binary?
110010001000000 (hexadecimal 6440, octal 62100).
What is the square root of 25664?
About 160.1999, exactly 8√401.
Is 25664 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 25664?
It is a composite number with 14 divisors.