The number 67820
67820 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3391. Divisors (12): 1, 2, 4, 5, 10, 20, 3391, 6782, 13564, 16955, 33910, 67820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67820 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67820 is composite. Its prime factorisation is
- 3
The divisors add up to 142464; without 67820 itself that is 74644, so 67820 is abundant (74644 is more than 67820). Euler's totient φ(67820) = 27120 numbers up to 67820 share no factor with it.
- 4
The digits of 67820 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 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67820 = 2^{2} \times 5 \times 3391 \]67820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 142464 |
| Euler totient φ(n) | 27120 |
| Square | 4599552400 |
| Cube | 311941643768000 |
| Square root | 260.422733 (= 2√16955) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.782 × |
67820 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and twenty |
| Binary (base 2) | 10000100011101100 |
| Octal (base 8) | 204354 |
| Hexadecimal (base 16) | 108EC |
| Base 3 | 10110000212 |
| As time | 67820 seconds = 18 h 50 min 20 s |
Is 67820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67820 ÷ 2 = 33910) | 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 (67820 ÷ 4 = 16955) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67820 ÷ 5 = 13564) | 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 4) | 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 | Yes (67820 ÷ 10 = 6782) | 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 67820 a prime number?
No. 67820 = × 5 × 3391, so it is divisible by 2.
What are the factors of 67820?
1, 2, 4, 5, 10, 20, 3391, 6782, 13564, 16955, 33910, 67820.
What is 67820 in binary?
10000100011101100 (hexadecimal 108EC, octal 204354).
What is the square root of 67820?
About 260.4227, exactly 2√16955.
Is 67820 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67820?
It is a composite number with 12 divisors.