The number 68013
68013 is a composite number with 16 divisors. Its prime factorisation is × 11 × 229. Divisors (16): 1, 3, 9, 11, 27, 33, 99, 229, 297, 687, 2061, 2519, 6183, 7557, 22671, 68013.
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How to work it out
- 1
68013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
68013 is composite. Its prime factorisation is
- 3
The divisors add up to 110400; without 68013 itself that is 42387, so 68013 is deficient (42387 is less than 68013). Euler's totient φ(68013) = 41040 numbers up to 68013 share no factor with it.
- 4
The digits of 68013 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 68013 = 3^{3} \times 11 \times 229 \]68013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110400 |
| Euler totient φ(n) | 41040 |
| Square | 4625768169 |
| Cube | 314612370478197 |
| Square root | 260.793021 (= 3√7557) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.8013 × |
68013 in other forms
| Form | Value |
|---|---|
| In words | sixty-eight thousand and thirteen |
| Binary (base 2) | 10000100110101101 |
| Octal (base 8) | 204655 |
| Hexadecimal (base 16) | 109AD |
| Base 3 | 10110022000 |
| As time | 68013 seconds = 18 h 53 min 33 s |
Is 68013 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 (68013 ÷ 3 = 22671) | 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 3) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (68013 ÷ 9 = 7557) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (68013 ÷ 11 = 6183) | 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 68013 a prime number?
No. 68013 = × 11 × 229, so it is divisible by 3.
What are the factors of 68013?
1, 3, 9, 11, 27, 33, 99, 229, 297, 687, 2061, 2519, 6183, 7557, 22671, 68013.
What is 68013 in binary?
10000100110101101 (hexadecimal 109AD, octal 204655).
What is the square root of 68013?
About 260.7930, exactly 3√7557.
Is 68013 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 68013?
It is a composite number with 16 divisors.