The number 67088
67088 is a composite number with 20 divisors. Its prime factorisation is × 7 × 599. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 599, 1198, 2396, 4193, 4792, 8386 … 67088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67088 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67088 is composite. Its prime factorisation is
- 3
The divisors add up to 148800; without 67088 itself that is 81712, so 67088 is abundant (81712 is more than 67088). Euler's totient φ(67088) = 28704 numbers up to 67088 share no factor with it.
- 4
The digits of 67088 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67088 = 2^{4} \times 7 \times 599 \]67088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 148800 |
| Euler totient φ(n) | 28704 |
| Square | 4500799744 |
| Cube | 301949653225472 |
| Square root | 259.013513 (= 4√4193) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7088 × |
67088 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and eighty-eight |
| Binary (base 2) | 10000011000010000 |
| Octal (base 8) | 203020 |
| Hexadecimal (base 16) | 10610 |
| Base 3 | 10102000202 |
| As time | 67088 seconds = 18 h 38 min 8 s |
Is 67088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67088 ÷ 2 = 33544) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67088 ÷ 4 = 16772) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67088 ÷ 7 = 9584) | 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 (67088 ÷ 8 = 8386) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67088 a prime number?
No. 67088 = × 7 × 599, so it is divisible by 2.
What are the factors of 67088?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 599, 1198, 2396, 4193, 4792, 8386, 9584, 16772, 33544, 67088.
What is 67088 in binary?
10000011000010000 (hexadecimal 10610, octal 203020).
What is the square root of 67088?
About 259.0135, exactly 4√4193.
Is 67088 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 67088?
It is a composite number with 20 divisors.