The number 65000
65000 is a composite number with 40 divisors. Its prime factorisation is × × 13. Divisors (40): 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104 … 65000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
65000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
65000 is composite. Its prime factorisation is
- 3
The divisors add up to 164010; without 65000 itself that is 99010, so 65000 is abundant (99010 is more than 65000). Euler's totient φ(65000) = 24000 numbers up to 65000 share no factor with it.
- 4
The digits of 65000 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65000 = 2^{3} \times 5^{4} \times 13 \]65000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 164010 |
| Euler totient φ(n) | 24000 |
| Square | 4225000000 |
| Cube | 274625000000000 |
| Square root | 254.950976 (= 50√26) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.5 × |
65000 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand |
| Binary (base 2) | 1111110111101000 |
| Octal (base 8) | 176750 |
| Hexadecimal (base 16) | FDE8 |
| Base 3 | 10022011102 |
| As time | 65000 seconds = 18 h 3 min 20 s |
Is 65000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (65000 ÷ 2 = 32500) | 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 (65000 ÷ 4 = 16250) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (65000 ÷ 5 = 13000) | 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 5) | 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 (65000 ÷ 8 = 8125) | 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 (65000 ÷ 10 = 6500) | 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 65000 a prime number?
No. 65000 = × × 13, so it is divisible by 2.
What are the factors of 65000?
1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 125, 130, 200, 250, 260, 325, 500, 520, 625, 650, 1000, 1250, 1300, 1625, 2500, 2600, 3250, 5000, 6500, 8125, 13000, 16250, 32500, 65000.
What is 65000 in binary?
1111110111101000 (hexadecimal FDE8, octal 176750).
What is the square root of 65000?
About 254.9510, exactly 50√26.
Is 65000 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 65000?
It is a composite number with 40 divisors.