The number 25064
25064 is a composite number with 16 divisors. Its prime factorisation is × 13 × 241. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 241, 482, 964, 1928, 3133, 6266, 12532, 25064.
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How to work it out
- 1
25064 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25064 is composite. Its prime factorisation is
- 3
The divisors add up to 50820; without 25064 itself that is 25756, so 25064 is abundant (25756 is more than 25064). Euler's totient φ(25064) = 11520 numbers up to 25064 share no factor with it.
- 4
The digits of 25064 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25064 = 2^{3} \times 13 \times 241 \]25064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 50820 |
| Euler totient φ(n) | 11520 |
| Square | 628204096 |
| Cube | 15745307462144 |
| Square root | 158.316139 (= 2√6266) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.5064 × |
25064 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and sixty-four |
| Binary (base 2) | 110000111101000 |
| Octal (base 8) | 60750 |
| Hexadecimal (base 16) | 61E8 |
| Base 3 | 1021101022 |
| As time | 25064 seconds = 6 h 57 min 44 s |
Is 25064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25064 ÷ 2 = 12532) | 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 (25064 ÷ 4 = 6266) | 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 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 (25064 ÷ 8 = 3133) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | 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 25064 a prime number?
No. 25064 = × 13 × 241, so it is divisible by 2.
What are the factors of 25064?
1, 2, 4, 8, 13, 26, 52, 104, 241, 482, 964, 1928, 3133, 6266, 12532, 25064.
What is 25064 in binary?
110000111101000 (hexadecimal 61E8, octal 60750).
What is the square root of 25064?
About 158.3161, exactly 2√6266.
Is 25064 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 25064?
It is a composite number with 16 divisors.