The number 67998
67998 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1619. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1619, 3238, 4857, 9714, 11333, 22666, 33999, 67998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67998 is composite. Its prime factorisation is
- 3
The divisors add up to 155520; without 67998 itself that is 87522, so 67998 is abundant (87522 is more than 67998). Euler's totient φ(67998) = 19416 numbers up to 67998 share no factor with it.
- 4
The digits of 67998 add up to 39, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67998 = 2 \times 3 \times 7 \times 1619 \]
67998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 155520 |
| Euler totient φ(n) | 19416 |
| Square | 4623728004 |
| Cube | 314404256815992 |
| Square root | 260.764261 |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7998 × |
67998 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and ninety-eight |
| Binary (base 2) | 10000100110011110 |
| Octal (base 8) | 204636 |
| Hexadecimal (base 16) | 1099E |
| Base 3 | 10110021110 |
| As time | 67998 seconds = 18 h 53 min 18 s |
Is 67998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67998 ÷ 2 = 33999) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67998 ÷ 3 = 22666) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67998 ÷ 6 = 11333) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67998 ÷ 7 = 9714) | 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 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67998 a prime number?
No. 67998 = 2 × 3 × 7 × 1619, so it is divisible by 2.
What are the factors of 67998?
1, 2, 3, 6, 7, 14, 21, 42, 1619, 3238, 4857, 9714, 11333, 22666, 33999, 67998.
What is 67998 in binary?
10000100110011110 (hexadecimal 1099E, octal 204636).
What is the square root of 67998?
About 260.7643.
Is 67998 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 67998?
It is a composite number with 16 divisors.