The number 65004
65004 is a composite number with 12 divisors. Its prime factorisation is × 3 × 5417. Divisors (12): 1, 2, 3, 4, 6, 12, 5417, 10834, 16251, 21668, 32502, 65004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
65004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
65004 is composite. Its prime factorisation is
- 3
The divisors add up to 151704; without 65004 itself that is 86700, so 65004 is abundant (86700 is more than 65004). Euler's totient φ(65004) = 21664 numbers up to 65004 share no factor with it.
- 4
The digits of 65004 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65004 = 2^{2} \times 3 \times 5417 \]65004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 151704 |
| Euler totient φ(n) | 21664 |
| Square | 4225520016 |
| Cube | 274675703120064 |
| Square root | 254.958820 (= 2√16251) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.5004 × |
65004 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand and four |
| Binary (base 2) | 1111110111101100 |
| Octal (base 8) | 176754 |
| Hexadecimal (base 16) | FDEC |
| Base 3 | 10022011120 |
| As time | 65004 seconds = 18 h 3 min 24 s |
Is 65004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (65004 ÷ 2 = 32502) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (65004 ÷ 3 = 21668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (65004 ÷ 4 = 16251) | 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 | Yes (65004 ÷ 6 = 10834) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (65004 ÷ 12 = 5417) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 65004 a prime number?
No. 65004 = × 3 × 5417, so it is divisible by 2.
What are the factors of 65004?
1, 2, 3, 4, 6, 12, 5417, 10834, 16251, 21668, 32502, 65004.
What is 65004 in binary?
1111110111101100 (hexadecimal FDEC, octal 176754).
What is the square root of 65004?
About 254.9588, exactly 2√16251.
Is 65004 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 65004?
It is a composite number with 12 divisors.