The number 67628
67628 is a composite number with 24 divisors. Its prime factorisation is × 11 × 29 × 53. Divisors (24): 1, 2, 4, 11, 22, 29, 44, 53, 58, 106, 116, 212, 319, 583, 638, 1166 … 67628.
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How to work it out
- 1
What is special about 67628: a Harshad number: divisible by its digit sum 29.
- 2
67628 is composite. Its prime factorisation is
- 3
The divisors add up to 136080; without 67628 itself that is 68452, so 67628 is abundant (68452 is more than 67628). Euler's totient φ(67628) = 29120 numbers up to 67628 share no factor with it.
- 4
The digits of 67628 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67628 = 2^{2} \times 11 \times 29 \times 53 \]67628 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 136080 |
| Euler totient φ(n) | 29120 |
| Square | 4573546384 |
| Cube | 309299794857152 |
| Square root | 260.053841 (= 2√16907) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7628 × |
67628 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and twenty-eight |
| Binary (base 2) | 10000100000101100 |
| Octal (base 8) | 204054 |
| Hexadecimal (base 16) | 1082C |
| Base 3 | 10102202202 |
| As time | 67628 seconds = 18 h 47 min 8 s |
Is 67628 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67628 ÷ 2 = 33814) | 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 (67628 ÷ 4 = 16907) | 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 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 4) | 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 | Yes (67628 ÷ 11 = 6148) | 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 67628 a prime number?
No. 67628 = × 11 × 29 × 53, so it is divisible by 2.
What are the factors of 67628?
1, 2, 4, 11, 22, 29, 44, 53, 58, 106, 116, 212, 319, 583, 638, 1166, 1276, 1537, 2332, 3074, 6148, 16907, 33814, 67628.
What is 67628 in binary?
10000100000101100 (hexadecimal 1082C, octal 204054).
What is the square root of 67628?
About 260.0538, exactly 2√16907.
Is 67628 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 67628?
67628 is a Harshad number: divisible by its digit sum 29.