The number 68001
68001 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 1193. Divisors (8): 1, 3, 19, 57, 1193, 3579, 22667, 68001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
68001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
68001 is composite. Its prime factorisation is
- 3
The divisors add up to 95520; without 68001 itself that is 27519, so 68001 is deficient (27519 is less than 68001). Euler's totient φ(68001) = 42912 numbers up to 68001 share no factor with it.
- 4
The digits of 68001 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 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 68001 = 3 \times 19 \times 1193 \]
68001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 95520 |
| Euler totient φ(n) | 42912 |
| Square | 4624136001 |
| Cube | 314445872204001 |
| Square root | 260.770014 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.8001 × |
68001 in other forms
| Form | Value |
|---|---|
| In words | sixty-eight thousand and one |
| Binary (base 2) | 10000100110100001 |
| Octal (base 8) | 204641 |
| Hexadecimal (base 16) | 109A1 |
| Base 3 | 10110021120 |
| As time | 68001 seconds = 18 h 53 min 21 s |
Is 68001 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 (68001 ÷ 3 = 22667) | 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 3) | 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 6) | 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 10) | 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 68001 a prime number?
No. 68001 = 3 × 19 × 1193, so it is divisible by 3.
What are the factors of 68001?
1, 3, 19, 57, 1193, 3579, 22667, 68001.
What is 68001 in binary?
10000100110100001 (hexadecimal 109A1, octal 204641).
What is the square root of 68001?
About 260.7700.
Is 68001 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 68001?
It is a composite number with 8 divisors.