The number 68004
68004 is a composite number with 18 divisors. Its prime factorisation is × × 1889. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1889, 3778, 5667, 7556, 11334, 17001, 22668 … 68004.
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How to work it out
- 1
What is special about 68004: a Harshad number: divisible by its digit sum 18.
- 2
68004 is composite. Its prime factorisation is
- 3
The divisors add up to 171990; without 68004 itself that is 103986, so 68004 is abundant (103986 is more than 68004). Euler's totient φ(68004) = 22656 numbers up to 68004 share no factor with it.
- 4
The digits of 68004 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 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 68004 = 2^{2} \times 3^{2} \times 1889 \]68004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 171990 |
| Euler totient φ(n) | 22656 |
| Square | 4624544016 |
| Cube | 314487491264064 |
| Square root | 260.775766 (= 6√1889) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.8004 × |
68004 in other forms
| Form | Value |
|---|---|
| In words | sixty-eight thousand and four |
| Binary (base 2) | 10000100110100100 |
| Octal (base 8) | 204644 |
| Hexadecimal (base 16) | 109A4 |
| Base 3 | 10110021200 |
| As time | 68004 seconds = 18 h 53 min 24 s |
Is 68004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (68004 ÷ 2 = 34002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (68004 ÷ 3 = 22668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (68004 ÷ 4 = 17001) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (68004 ÷ 6 = 11334) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (68004 ÷ 9 = 7556) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (68004 ÷ 12 = 5667) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 68004 a prime number?
No. 68004 = × × 1889, so it is divisible by 2.
What are the factors of 68004?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1889, 3778, 5667, 7556, 11334, 17001, 22668, 34002, 68004.
What is 68004 in binary?
10000100110100100 (hexadecimal 109A4, octal 204644).
What is the square root of 68004?
About 260.7758, exactly 6√1889.
Is 68004 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 68004?
68004 is a Harshad number: divisible by its digit sum 18.