The number 65008
65008 is a composite number with 20 divisors. Its prime factorisation is × 17 × 239. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 136, 239, 272, 478, 956, 1912, 3824, 4063 … 65008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
65008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
65008 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 65008 itself that is 68912, so 65008 is abundant (68912 is more than 65008). Euler's totient φ(65008) = 30464 numbers up to 65008 share no factor with it.
- 4
The digits of 65008 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65008 = 2^{4} \times 17 \times 239 \]65008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 30464 |
| Square | 4226040064 |
| Cube | 274726412480512 |
| Square root | 254.966664 (= 4√4063) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.5008 × |
65008 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand and eight |
| Binary (base 2) | 1111110111110000 |
| Octal (base 8) | 176760 |
| Hexadecimal (base 16) | FDF0 |
| Base 3 | 10022011201 |
| As time | 65008 seconds = 18 h 3 min 28 s |
Is 65008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (65008 ÷ 2 = 32504) | 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 (65008 ÷ 4 = 16252) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 6) | 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 (65008 ÷ 8 = 8126) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 65008 a prime number?
No. 65008 = × 17 × 239, so it is divisible by 2.
What are the factors of 65008?
1, 2, 4, 8, 16, 17, 34, 68, 136, 239, 272, 478, 956, 1912, 3824, 4063, 8126, 16252, 32504, 65008.
What is 65008 in binary?
1111110111110000 (hexadecimal FDF0, octal 176760).
What is the square root of 65008?
About 254.9667, exactly 4√4063.
Is 65008 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 65008?
It is a composite number with 20 divisors.