The number 68988
68988 is a composite number with 12 divisors. Its prime factorisation is × 3 × 5749. Divisors (12): 1, 2, 3, 4, 6, 12, 5749, 11498, 17247, 22996, 34494, 68988.
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How to work it out
- 1
68988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
68988 is composite. Its prime factorisation is
- 3
The divisors add up to 161000; without 68988 itself that is 92012, so 68988 is abundant (92012 is more than 68988). Euler's totient φ(68988) = 22992 numbers up to 68988 share no factor with it.
- 4
The digits of 68988 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 68988 = 2^{2} \times 3 \times 5749 \]68988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 161000 |
| Euler totient φ(n) | 22992 |
| Square | 4759344144 |
| Cube | 328337633806272 |
| Square root | 262.655668 (= 2√17247) |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 81 |
| Scientific notation | 6.8988 × |
68988 in other forms
| Form | Value |
|---|---|
| In words | sixty-eight thousand nine hundred and eighty-eight |
| Binary (base 2) | 10000110101111100 |
| Octal (base 8) | 206574 |
| Hexadecimal (base 16) | 10D7C |
| Base 3 | 10111122010 |
| As time | 68988 seconds = 19 h 9 min 48 s |
Is 68988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (68988 ÷ 2 = 34494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (68988 ÷ 3 = 22996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (68988 ÷ 4 = 17247) | 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 (68988 ÷ 6 = 11498) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 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 | Yes (68988 ÷ 12 = 5749) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 68988 a prime number?
No. 68988 = × 3 × 5749, so it is divisible by 2.
What are the factors of 68988?
1, 2, 3, 4, 6, 12, 5749, 11498, 17247, 22996, 34494, 68988.
What is 68988 in binary?
10000110101111100 (hexadecimal 10D7C, octal 206574).
What is the square root of 68988?
About 262.6557, exactly 2√17247.
Is 68988 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 68988?
It is a composite number with 12 divisors.