The number 40684
40684 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1453. Divisors (12): 1, 2, 4, 7, 14, 28, 1453, 2906, 5812, 10171, 20342, 40684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40684 is composite. Its prime factorisation is
- 3
The divisors add up to 81424; without 40684 itself that is 40740, so 40684 is abundant (40740 is more than 40684). Euler's totient φ(40684) = 17424 numbers up to 40684 share no factor with it.
- 4
The digits of 40684 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40684 = 2^{2} \times 7 \times 1453 \]40684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 81424 |
| Euler totient φ(n) | 17424 |
| Square | 1655187856 |
| Cube | 67339662733504 |
| Square root | 201.702752 (= 2√10171) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0684 × |
40684 in other forms
| Form | Value |
|---|---|
| In words | forty thousand six hundred and eighty-four |
| Binary (base 2) | 1001111011101100 |
| Octal (base 8) | 117354 |
| Hexadecimal (base 16) | 9EEC |
| Base 3 | 2001210211 |
| As time | 40684 seconds = 11 h 18 min 4 s |
Is 40684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40684 ÷ 2 = 20342) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40684 ÷ 4 = 10171) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40684 ÷ 7 = 5812) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40684 a prime number?
No. 40684 = × 7 × 1453, so it is divisible by 2.
What are the factors of 40684?
1, 2, 4, 7, 14, 28, 1453, 2906, 5812, 10171, 20342, 40684.
What is 40684 in binary?
1001111011101100 (hexadecimal 9EEC, octal 117354).
What is the square root of 40684?
About 201.7028, exactly 2√10171.
Is 40684 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 40684?
It is a composite number with 12 divisors.