The number 67982
67982 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 1789. Divisors (8): 1, 2, 19, 38, 1789, 3578, 33991, 67982.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67982 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67982 is composite. Its prime factorisation is
- 3
The divisors add up to 107400; without 67982 itself that is 39418, so 67982 is deficient (39418 is less than 67982). Euler's totient φ(67982) = 32184 numbers up to 67982 share no factor with it.
- 4
The digits of 67982 add up to 32, 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
\[ 67982 = 2 \times 19 \times 1789 \]
67982 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 107400 |
| Euler totient φ(n) | 32184 |
| Square | 4621552324 |
| Cube | 314182370090168 |
| Square root | 260.733580 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7982 × |
67982 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and eighty-two |
| Binary (base 2) | 10000100110001110 |
| Octal (base 8) | 204616 |
| Hexadecimal (base 16) | 1098E |
| Base 3 | 10110020212 |
| As time | 67982 seconds = 18 h 53 min 2 s |
Is 67982 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67982 ÷ 2 = 33991) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 5) | 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 6) | 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 2) | 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 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67982 a prime number?
No. 67982 = 2 × 19 × 1789, so it is divisible by 2.
What are the factors of 67982?
1, 2, 19, 38, 1789, 3578, 33991, 67982.
What is 67982 in binary?
10000100110001110 (hexadecimal 1098E, octal 204616).
What is the square root of 67982?
About 260.7336.
Is 67982 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 67982?
It is a composite number with 8 divisors.