The number 67988
67988 is a composite number with 12 divisors. Its prime factorisation is × 23 × 739. Divisors (12): 1, 2, 4, 23, 46, 92, 739, 1478, 2956, 16997, 33994, 67988.
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How to work it out
- 1
67988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67988 is composite. Its prime factorisation is
- 3
The divisors add up to 124320; without 67988 itself that is 56332, so 67988 is deficient (56332 is less than 67988). Euler's totient φ(67988) = 32472 numbers up to 67988 share no factor with it.
- 4
The digits of 67988 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67988 = 2^{2} \times 23 \times 739 \]67988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 124320 |
| Euler totient φ(n) | 32472 |
| Square | 4622368144 |
| Cube | 314265565374272 |
| Square root | 260.745086 (= 2√16997) |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7988 × |
67988 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and eighty-eight |
| Binary (base 2) | 10000100110010100 |
| Octal (base 8) | 204624 |
| Hexadecimal (base 16) | 10994 |
| Base 3 | 10110021002 |
| As time | 67988 seconds = 18 h 53 min 8 s |
Is 67988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67988 ÷ 2 = 33994) | 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 (67988 ÷ 4 = 16997) | 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 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 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 | No (remainder 8) | 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 67988 a prime number?
No. 67988 = × 23 × 739, so it is divisible by 2.
What are the factors of 67988?
1, 2, 4, 23, 46, 92, 739, 1478, 2956, 16997, 33994, 67988.
What is 67988 in binary?
10000100110010100 (hexadecimal 10994, octal 204624).
What is the square root of 67988?
About 260.7451, exactly 2√16997.
Is 67988 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 67988?
It is a composite number with 12 divisors.