The number 65010
65010 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 11 × 197. Divisors (32): 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 197 … 65010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
65010 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
65010 is composite. Its prime factorisation is
- 3
The divisors add up to 171072; without 65010 itself that is 106062, so 65010 is abundant (106062 is more than 65010). Euler's totient φ(65010) = 15680 numbers up to 65010 share no factor with it.
- 4
The digits of 65010 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65010 = 2 \times 3 \times 5 \times 11 \times 197 \]
65010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 171072 |
| Euler totient φ(n) | 15680 |
| Square | 4226300100 |
| Cube | 274751769501000 |
| Square root | 254.970587 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.501 × |
65010 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand and ten |
| Binary (base 2) | 1111110111110010 |
| Octal (base 8) | 176762 |
| Hexadecimal (base 16) | FDF2 |
| Base 3 | 10022011210 |
| As time | 65010 seconds = 18 h 3 min 30 s |
Is 65010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (65010 ÷ 2 = 32505) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (65010 ÷ 3 = 21670) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (65010 ÷ 5 = 13002) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (65010 ÷ 6 = 10835) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (65010 ÷ 10 = 6501) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (65010 ÷ 11 = 5910) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 65010 a prime number?
No. 65010 = 2 × 3 × 5 × 11 × 197, so it is divisible by 2.
What are the factors of 65010?
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 197, 330, 394, 591, 985, 1182, 1970, 2167, 2955, 4334, 5910, 6501, 10835, 13002, 21670, 32505, 65010.
What is 65010 in binary?
1111110111110010 (hexadecimal FDF2, octal 176762).
What is the square root of 65010?
About 254.9706.
Is 65010 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 65010?
It is a composite number with 32 divisors.