The number 67028
67028 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1289. Divisors (12): 1, 2, 4, 13, 26, 52, 1289, 2578, 5156, 16757, 33514, 67028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67028 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67028 is composite. Its prime factorisation is
- 3
The divisors add up to 126420; without 67028 itself that is 59392, so 67028 is deficient (59392 is less than 67028). Euler's totient φ(67028) = 30912 numbers up to 67028 share no factor with it.
- 4
The digits of 67028 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67028 = 2^{2} \times 13 \times 1289 \]67028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 126420 |
| Euler totient φ(n) | 30912 |
| Square | 4492752784 |
| Cube | 301140233605952 |
| Square root | 258.897663 (= 2√16757) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7028 × |
67028 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and twenty-eight |
| Binary (base 2) | 10000010111010100 |
| Octal (base 8) | 202724 |
| Hexadecimal (base 16) | 105D4 |
| Base 3 | 10101221112 |
| As time | 67028 seconds = 18 h 37 min 8 s |
Is 67028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67028 ÷ 2 = 33514) | 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 (67028 ÷ 4 = 16757) | 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 | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | 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 67028 a prime number?
No. 67028 = × 13 × 1289, so it is divisible by 2.
What are the factors of 67028?
1, 2, 4, 13, 26, 52, 1289, 2578, 5156, 16757, 33514, 67028.
What is 67028 in binary?
10000010111010100 (hexadecimal 105D4, octal 202724).
What is the square root of 67028?
About 258.8977, exactly 2√16757.
Is 67028 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67028?
It is a composite number with 12 divisors.