The number 65001
65001 is a composite number with 8 divisors. Its prime factorisation is 3 × 47 × 461. Divisors (8): 1, 3, 47, 141, 461, 1383, 21667, 65001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
65001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
65001 is composite. Its prime factorisation is
- 3
The divisors add up to 88704; without 65001 itself that is 23703, so 65001 is deficient (23703 is less than 65001). Euler's totient φ(65001) = 42320 numbers up to 65001 share no factor with it.
- 4
The digits of 65001 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 65001 = 3 \times 47 \times 461 \]
65001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 88704 |
| Euler totient φ(n) | 42320 |
| Square | 4225130001 |
| Cube | 274637675195001 |
| Square root | 254.952937 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.5001 × |
65001 in other forms
| Form | Value |
|---|---|
| In words | sixty-five thousand and one |
| Binary (base 2) | 1111110111101001 |
| Octal (base 8) | 176751 |
| Hexadecimal (base 16) | FDE9 |
| Base 3 | 10022011110 |
| As time | 65001 seconds = 18 h 3 min 21 s |
Is 65001 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (65001 ÷ 3 = 21667) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 65001 a prime number?
No. 65001 = 3 × 47 × 461, so it is divisible by 3.
What are the factors of 65001?
1, 3, 47, 141, 461, 1383, 21667, 65001.
What is 65001 in binary?
1111110111101001 (hexadecimal FDE9, octal 176751).
What is the square root of 65001?
About 254.9529.
Is 65001 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 65001?
It is a composite number with 8 divisors.