The number 40688
40688 is a composite number with 10 divisors. Its prime factorisation is × 2543. Divisors (10): 1, 2, 4, 8, 16, 2543, 5086, 10172, 20344, 40688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40688 is composite. Its prime factorisation is
- 3
The divisors add up to 78864; without 40688 itself that is 38176, so 40688 is deficient (38176 is less than 40688). Euler's totient φ(40688) = 20336 numbers up to 40688 share no factor with it.
- 4
The digits of 40688 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40688 = 2^{4} \times 2543 \]40688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 78864 |
| Euler totient φ(n) | 20336 |
| Square | 1655513344 |
| Cube | 67359526940672 |
| Square root | 201.712667 (= 4√2543) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0688 × |
40688 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and eighty-eight |
| Binary (base 2) | 1001111011110000 |
| Octal (base 8) | 117360 |
| Hexadecimal (base 16) | 9EF0 |
| Base 3 | 2001210222 |
| As time | 40688 seconds = 11 h 18 min 8 s |
Is 40688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40688 ÷ 2 = 20344) | 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 (40688 ÷ 4 = 10172) | 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 | Yes (40688 ÷ 8 = 5086) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | 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 40688 a prime number?
No. 40688 = × 2543, so it is divisible by 2.
What are the factors of 40688?
1, 2, 4, 8, 16, 2543, 5086, 10172, 20344, 40688.
What is 40688 in binary?
1001111011110000 (hexadecimal 9EF0, octal 117360).
What is the square root of 40688?
About 201.7127, exactly 4√2543.
Is 40688 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 40688?
It is a composite number with 10 divisors.