The number 40168
40168 is a composite number with 8 divisors. Its prime factorisation is × 5021. Divisors (8): 1, 2, 4, 8, 5021, 10042, 20084, 40168.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40168 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40168 is composite. Its prime factorisation is
- 3
The divisors add up to 75330; without 40168 itself that is 35162, so 40168 is deficient (35162 is less than 40168). Euler's totient φ(40168) = 20080 numbers up to 40168 share no factor with it.
- 4
The digits of 40168 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40168 = 2^{3} \times 5021 \]40168 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75330 |
| Euler totient φ(n) | 20080 |
| Square | 1613468224 |
| Cube | 64809791621632 |
| Square root | 200.419560 (= 2√10042) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0168 × |
40168 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and sixty-eight |
| Binary (base 2) | 1001110011101000 |
| Octal (base 8) | 116350 |
| Hexadecimal (base 16) | 9CE8 |
| Base 3 | 2001002201 |
| As time | 40168 seconds = 11 h 9 min 28 s |
Is 40168 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40168 ÷ 2 = 20084) | 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 (40168 ÷ 4 = 10042) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (40168 ÷ 8 = 5021) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40168 a prime number?
No. 40168 = × 5021, so it is divisible by 2.
What are the factors of 40168?
1, 2, 4, 8, 5021, 10042, 20084, 40168.
What is 40168 in binary?
1001110011101000 (hexadecimal 9CE8, octal 116350).
What is the square root of 40168?
About 200.4196, exactly 2√10042.
Is 40168 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40168?
It is a composite number with 8 divisors.