The number 67608
67608 is a composite number with 32 divisors. Its prime factorisation is × × 313. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216 … 67608.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67608: a Harshad number: divisible by its digit sum 27.
- 2
67608 is composite. Its prime factorisation is
- 3
The divisors add up to 188400; without 67608 itself that is 120792, so 67608 is abundant (120792 is more than 67608). Euler's totient φ(67608) = 22464 numbers up to 67608 share no factor with it.
- 4
The digits of 67608 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67608 = 2^{3} \times 3^{3} \times 313 \]67608 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 188400 |
| Euler totient φ(n) | 22464 |
| Square | 4570841664 |
| Cube | 309025463219712 |
| Square root | 260.015384 (= 6√1878) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7608 × |
67608 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and eight |
| Binary (base 2) | 10000100000011000 |
| Octal (base 8) | 204030 |
| Hexadecimal (base 16) | 10818 |
| Base 3 | 10102202000 |
| As time | 67608 seconds = 18 h 46 min 48 s |
Is 67608 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67608 ÷ 2 = 33804) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67608 ÷ 3 = 22536) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67608 ÷ 4 = 16902) | 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 | Yes (67608 ÷ 6 = 11268) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (67608 ÷ 8 = 8451) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67608 ÷ 9 = 7512) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 (67608 ÷ 12 = 5634) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67608 a prime number?
No. 67608 = × × 313, so it is divisible by 2.
What are the factors of 67608?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 313, 626, 939, 1252, 1878, 2504, 2817, 3756, 5634, 7512, 8451, 11268, 16902, 22536, 33804, 67608.
What is 67608 in binary?
10000100000011000 (hexadecimal 10818, octal 204030).
What is the square root of 67608?
About 260.0154, exactly 6√1878.
Is 67608 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67608?
67608 is a Harshad number: divisible by its digit sum 27.